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Author ID: valdinoci.enrico Recent zbMATH articles by "Valdinoci, Enrico"
Published as: Valdinoci, Enrico; Valdinoci, E.
Homepage: https://research-repository.uwa.edu.au/en/persons/enrico-valdinoci
External Links: MGP · ORCID · dblp
all top 5

Co-Authors

11 single-authored
77 Dipierro, Serena
33 Farina, Alberto
18 Savin, Ovidiu V.
15 Novaga, Matteo
12 Servadei, Raffaella
9 de la Llave, Rafael
7 Cesaroni, Annalisa
7 Cozzi, Matteo
7 Sire, Yannick
6 Palatucci, Giampiero
5 Biasco, Luca
5 Caffarelli, Luis Ángel
5 Chierchia, Luigi
5 Ferrari, Fausto
5 Figalli, Alessio
5 Fiscella, Alessio
5 Karakhanyan, Aram L.
5 Patrizi, Stefania
5 Pinamonti, Andrea
5 Ros-Oton, Xavier
5 Sciunzi, Berardino
5 Serra Montolí, Joaquim
4 Biagi, Stefano
4 Bucur, Claudia
4 Cinti, Eleonora
4 Miraglio, Pietro
4 Rocca, Elisabetta
4 Vecchi, Eugenio
3 Birindelli, Isabeau
3 Gao, Zu
3 Gomes, Diogo Luís Aguiar
3 Lombardini, Luca
3 Maggi, Francesco
3 Peral Alonso, Ireneo
3 Poggesi, Giorgio
3 Soave, Nicola
2 Abatangelo, Nicola
2 Affili, Elisa
2 Barrios Barrera, Begoña
2 Berti, Massimiliano
2 Bosia, Stefano
2 Carbotti, Alessandro
2 Cavaterra, Cecilia
2 Chermisi, Milena
2 Coclite, Giuseppe Maria
2 Dávila, Juan
2 Del Pino, Manuel A.
2 Eleuteri, Michela
2 Fall, Mouhamed Moustapha
2 Hamel, François
2 Maddalena, Francesco
2 Medina, Maria
2 da Silva Montenegro, Marcelo
2 Petrosyan, Arshak
2 Punzo, Fabio
2 Sinestrari, Carlo
1 Abdellaoui, Boumediene
1 Albanese, Guglielmo
1 Bessi, Ugo
1 Blass, Timothy
1 Brasseur, Julien
1 Cabré, Xavier
1 Castellaneta, Diego
1 Chambolle, Antonin
1 Ciepliński, Krzysztof
1 Cirant, Marco
1 Coville, Jerome
1 Damascelli, Lucio
1 De Silva, Daniela
1 DeSimone, Antonio
1 di Castro, Agnese
1 Di Nezza, Eleonora
1 Dieb, Abdelrazek
1 Felli, Veronica
1 Franzina, Giovanni
1 Geldhauser, Carina
1 Giga, Yoshikazu
1 Junginger-Gestrich, Hannes
1 Kaiser, Hans-Christoph
1 Kaloshin, Vadim Yu.
1 Kloeden, Peter Eris
1 Knees, Dorothee
1 Lasiecka, Irena
1 Mahmoudi, Fethi
1 Mari, Luciano
1 Markowich, Peter Alexander
1 Massaccesi, Annalisa
1 Mather, John N.
1 Matzeu, Michele
1 Mielke, Alexander
1 Onoue, Fumihiko
1 Pellacci, Benedetta
1 Proietti, Lippi Edoardo
1 Rehberg, Joachim
1 Ruffini, Berardo
1 Sáez, Mariel
1 Soria, Fernando
1 Sprekels, Jürgen
1 Tellini, Andrea
1 Thomas, Marita
...and 3 more Co-Authors
all top 5

Serials

11 Calculus of Variations and Partial Differential Equations
10 Discrete and Continuous Dynamical Systems
8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Archive for Rational Mechanics and Analysis
7 Advances in Mathematics
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Communications in Partial Differential Equations
6 Nonlinearity
6 SIAM Journal on Mathematical Analysis
6 Communications on Pure and Applied Analysis
5 Communications in Mathematical Physics
5 Journal of Differential Equations
5 Journal of Functional Analysis
5 Revista Matemática Iberoamericana
5 The Journal of Geometric Analysis
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4 Indiana University Mathematics Journal
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Interfaces and Free Boundaries
3 Journal of Mathematical Analysis and Applications
3 Journal of Statistical Physics
3 Journal für die Reine und Angewandte Mathematik
3 Manuscripta Mathematica
3 Mathematische Annalen
3 Proceedings of the American Mathematical Society
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Nonlinear Science
3 Discrete and Continuous Dynamical Systems. Series S
3 Analysis & PDE
2 Journal of Mathematical Physics
2 American Journal of Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Transactions of the American Mathematical Society
2 Publicacions Matemàtiques
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 IMRN. International Mathematics Research Notices
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Journal of the European Mathematical Society (JEMS)
2 Advanced Nonlinear Studies
2 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino
2 Advances in Nonlinear Analysis
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Biology
1 Mathematical Methods in the Applied Sciences
1 Physica A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Bulletin of Mathematical Biology
1 Applied Mathematics and Optimization
1 Journal of Differential Geometry
1 Journal of the London Mathematical Society. Second Series
1 Le Matematiche
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Numerical Functional Analysis and Optimization
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 SIAM Journal on Control and Optimization
1 Ergodic Theory and Dynamical Systems
1 Zeitschrift für Analysis und ihre Anwendungen
1 Physica D
1 Asymptotic Analysis
1 Forum Mathematicum
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Communications in Analysis and Geometry
1 Topology Proceedings
1 Electronic Journal of Differential Equations (EJDE)
1 NoDEA. Nonlinear Differential Equations and Applications
1 Journal of Convex Analysis
1 Mathematical Research Letters
1 Bulletin des Sciences Mathématiques
1 Mathematical Physics Electronic Journal
1 Nonlinear Studies
1 Revista Matemática Complutense
1 Communications in Contemporary Mathematics
1 The ANZIAM Journal
1 Journal of Evolution Equations
1 Discrete and Continuous Dynamical Systems. Series B
1 Portugaliae Mathematica. Nova Série
1 Milan Journal of Mathematics
1 Complex Variables and Elliptic Equations
1 Contemporary Mathematics
1 De Gruyter Studies in Mathematics
1 Lecture Notes in Mathematics
1 Appunti. Scuola Normale Superiore di Pisa (Nuova Serie)
1 Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series
1 Journal of Fixed Point Theory and Applications
1 Lecture Notes of the Unione Matematica Italiana
1 Networks and Heterogeneous Media
1 Kinetic and Related Models
1 Advances in Calculus of Variations
1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA
1 Journal de l’École Polytechnique – Mathématiques
1 Mathematics in Engineering
1 Pure and Applied Analysis

Publications by Year

Citations contained in zbMATH Open

210 Publications have been cited 6,801 times in 2,845 Documents Cited by Year
Hitchhiker’s guide to the fractional Sobolev spaces. Zbl 1252.46023
Di Nezza, Eleonora; Palatucci, Giampiero; Valdinoci, Enrico
2012
Mountain pass solutions for non-local elliptic operators. Zbl 1234.35291
Servadei, Raffaella; Valdinoci, Enrico
351
2012
Variational methods for non-local operators of elliptic type. Zbl 1303.35121
Servadei, Raffaella; Valdinoci, Enrico
340
2013
The Brezis-Nirenberg result for the fractional Laplacian. Zbl 1323.35202
Servadei, Raffaella; Valdinoci, Enrico
271
2015
A critical Kirchhoff type problem involving a nonlocal operator. Zbl 1283.35156
Fiscella, Alessio; Valdinoci, Enrico
210
2014
Nonlocal diffusion and applications. Zbl 1377.35002
Bucur, Claudia; Valdinoci, Enrico
187
2016
On the spectrum of two different fractional operators. Zbl 1304.35752
Servadei, Raffaella; Valdinoci, Enrico
155
2014
Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result. Zbl 1163.35019
Sire, Yannick; Valdinoci, Enrico
145
2009
Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian. Zbl 1287.35023
Dipierro, Serena; Palatucci, Giampiero; Valdinoci, Enrico
139
2013
A Brezis-Nirenberg result for non-local critical equations in low dimension. Zbl 1302.35413
Servadei, Raffaella; Valdinoci, Enrico
126
2013
From the long jump random walk to the fractional Laplacian. Zbl 1242.60047
Valdinoci, Enrico
123
2009
Weak and viscosity solutions of the fractional Laplace equation. Zbl 1292.35315
Servadei, Raffaella; Valdinoci, Enrico
105
2014
Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators. Zbl 1275.49016
Servadei, Raffaella; Valdinoci, Enrico
104
2013
Nonlocal problems with Neumann boundary conditions. Zbl 1371.35322
Dipierro, Serena; Ros-Oton, Xavier; Valdinoci, Enrico
86
2017
Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215
Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico
82
2015
Uniform estimates and limiting arguments for nonlocal minimal surfaces. Zbl 1357.49143
Caffarelli, Luis; Valdinoci, Enrico
79
2011
Density properties for fractional Sobolev spaces. Zbl 1346.46025
Fiscella, Alessio; Servadei, Raffaella; Valdinoci, Enrico
78
2015
Local and global minimizers for a variational energy involving a fractional norm. Zbl 1278.82022
Palatucci, Giampiero; Savin, Ovidiu; Valdinoci, Enrico
76
2013
Ground states and concentration phenomena for the fractional Schrödinger equation. Zbl 1320.35320
Fall, Mouhamed Moustapha; Mahmoudi, Fethi; Valdinoci, Enrico
71
2015
Fractional elliptic problems with critical growth in the whole of \(\mathbb R^n\). Zbl 1375.49001
Dipierro, Serena; Medina, María; Valdinoci, Enrico
66
2017
Bernstein and De Giorgi type problems: new results via a geometric approach. Zbl 1180.35251
Farina, Alberto; Sciunzi, Berardino; Valdinoci, Enrico
66
2008
\(\Gamma \)-convergence for nonlocal phase transitions. Zbl 1253.49008
Savin, Ovidiu; Valdinoci, Enrico
66
2012
Flattening results for elliptic PDEs in unbounded domains with applications to overdetermined problems. Zbl 1236.35058
Farina, Alberto; Valdinoci, Enrico
53
2010
Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces. Zbl 1316.35061
Barrios, Begoña; Figalli, Alessio; Valdinoci, Enrico
50
2014
Regularity properties of nonlocal minimal surfaces via limiting arguments. Zbl 1284.53008
Caffarelli, Luis; Valdinoci, Enrico
47
2013
Fractional Laplacian equations with critical Sobolev exponent. Zbl 1338.35481
Servadei, Raffaella; Valdinoci, Enrico
47
2015
Liouville results for \(m\)-Laplace equations of Lane-Emden-Fowler type. Zbl 1172.35405
Damascelli, Lucio; Farina, Alberto; Sciunzi, Berardino; Valdinoci, Enrico
45
2009
The state of the art for a conjecture of de Giorgi and related problems. Zbl 1183.35137
Farina, Alberto; Valdinoci, Enrico
44
2009
Density estimates for a variational model driven by the Gagliardo norm. Zbl 1278.49016
Savin, Ovidiu; Valdinoci, Enrico
43
2014
Regularity of nonlocal minimal cones in dimension 2. Zbl 1275.35065
Savin, Ovidiu; Valdinoci, Enrico
43
2013
All functions are locally \(s\)-harmonic up to a small error. Zbl 1371.35323
Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico
40
2017
A Widder’s type theorem for the heat equation with nonlocal diffusion. Zbl 1310.35226
Barrios, Begoña; Peral, Ireneo; Soria, Fernando; Valdinoci, Enrico
38
2014
Dislocation dynamics in crystals: a macroscopic theory in a fractional Laplace setting. Zbl 1311.35313
Dipierro, Serena; Palatucci, Giampiero; Valdinoci, Enrico
36
2015
Getting acquainted with the fractional Laplacian. Zbl 1432.35216
Abatangelo, Nicola; Valdinoci, Enrico
36
2019
Uniqueness and nondegeneracy of positive solutions of \((-\Delta )^su+u= u^p\) in \(\mathbb R^N\) when s is close to 1. Zbl 1304.35746
Fall, Mouhamed Moustapha; Valdinoci, Enrico
33
2014
Asymptotics of the \(s\)-perimeter as \(s \searrow 0\). Zbl 1275.49083
Dipierro, Serena; Figalli, Alessio; Palatucci, Giampiero; Valdinoci, Enrico
33
2013
On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results. Zbl 1388.35208
Dipierro, Serena; Soave, Nicola; Valdinoci, Enrico
32
2017
Splitting theorems, symmetry results and overdetermined problems for Riemannian manifolds. Zbl 1287.58011
Farina, Alberto; Mari, Luciano; Valdinoci, Enrico
31
2013
A notion of nonlocal curvature. Zbl 1296.53021
Abatangelo, Nicola; Valdinoci, Enrico
29
2014
Strongly nonlocal dislocation dynamics in crystals. Zbl 1304.35731
Dipierro, Serena; Figalli, Alessio; Valdinoci, Enrico
28
2014
Stable solutions of elliptic equations on Riemannian manifolds. Zbl 1273.53029
Farina, Alberto; Sire, Yannick; Valdinoci, Enrico
28
2013
Bifurcation results for a fractional elliptic equation with critical exponent in \(\mathbb {R}^n\). Zbl 1377.35262
Dipierro, Serena; Medina, María; Peral, Ireneo; Valdinoci, Enrico
28
2017
Regularity and Bernstein-type results for nonlocal minimal surfaces. Zbl 1380.49060
Figalli, Alessio; Valdinoci, Enrico
27
2017
Plane-like minimizers in periodic media: jet flows and Ginzburg-Landau-type functionals. Zbl 1210.76132
Valdinoci, Enrico
27
2004
Multiplicity results for interfaces of Ginzburg-Landau-Allen-Cahn equations in periodic media. Zbl 1152.35038
de la Llave, Rafael; Valdinoci, Enrico
26
2007
1D symmetry for solutions of semilinear and quasilinear elliptic equations. Zbl 1228.35105
Farina, Alberto; Valdinoci, Enrico
25
2011
Boundary behavior of nonlocal minimal surfaces. Zbl 1358.49038
Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico
24
2017
Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations. Zbl 1303.49001
Cozzi, Matteo; Farina, Alberto; Valdinoci, Enrico
23
2014
A new type of identification problems: optimizing the fractional order in a nonlocal evolution equation. Zbl 1394.49033
Sprekels, Jürgen; Valdinoci, Enrico
23
2017
Upper bounds on Arnold diffusion time via Mather theory. Zbl 0986.37052
Bessi, Ugo; Chierchia, Luigi; Valdinoci, Enrico
22
2001
A generalization of Aubry-Mather theory to partial differential equations and pseudo-differential equations. Zbl 1171.35372
de la Llave, Rafael; Valdinoci, Enrico
22
2009
\(N\)-dimensional elliptic invariant tori for the planar \((N+1)\)-body problem. Zbl 1096.70005
Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico
22
2006
A resonance problem for non-local elliptic operators. Zbl 1278.49009
Fiscella, Alessio; Servadei, Raffaella; Valdinoci, Enrico
21
2013
A fractional framework for perimeters and phase transitions. Zbl 1264.35269
Valdinoci, Enrico
21
2013
Quantitative flatness results and \(BV\)-estimates for stable nonlocal minimal surfaces. Zbl 1420.53014
Cinti, Eleonora; Serra, Joaquim; Valdinoci, Enrico
21
2019
Local density of solutions to fractional equations. Zbl 07089131
Carbotti, Alessandro; Dipierro, Serena; Valdinoci, Enrico
21
2019
On partially and globally overdetermined problems of elliptic type. Zbl 1312.35138
Farina, Alberto; Valdinoci, Enrico
20
2013
Is a nonlocal diffusion strategy convenient for biological populations in competition? Zbl 1362.35312
Massaccesi, Annalisa; Valdinoci, Enrico
20
2017
Local approximation of arbitrary functions by solutions of nonlocal equations. Zbl 1461.35211
Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico
20
2019
Some monotonicity results for minimizers in the calculus of variations. Zbl 1278.49029
Savin, Ovidiu; Valdinoci, Enrico
19
2013
Density estimates for a nonlocal variational model via the Sobolev inequality. Zbl 1233.35201
Savin, Ovidiu; Valdinoci, Enrico
19
2011
Ground states and critical points for generalized Frenkel-Kontorova models in \(\mathbb Z^d\). Zbl 1206.82026
de la Llave, Rafael; Valdinoci, Enrico
19
2007
Flat level set regularity of \(p\)-Laplace phase transitions. Zbl 1138.35029
Valdinoci, Enrico; Sciunzi, Berardino; Savin, Vasile Ovidiu
19
2006
A density property for fractional weighted Sobolev spaces. Zbl 1346.46024
Dipierro, Serena; Valdinoci, Enrico
18
2015
Ground states and critical points for Aubry-Mather theory in Statistical mechanics. Zbl 1196.82095
de la Llave, Rafael; Valdinoci, Enrico
18
2010
Nonlocal quantitative isoperimetric inequalities. Zbl 1333.49061
Di Castro, Agnese; Novaga, Matteo; Ruffini, Berardo; Valdinoci, Enrico
17
2015
The Dirichlet problem for nonlocal operators with singular kernels: convex and nonconvex domains. Zbl 1334.35397
Ros-Oton, Xavier; Valdinoci, Enrico
17
2016
Graph properties for nonlocal minimal surfaces. Zbl 1354.49088
Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico
17
2016
Gradient bounds for anisotropic partial differential equations. Zbl 1288.35131
Farina, Alberto; Valdinoci, Enrico
16
2014
Rigidity results for some boundary quasilinear phase transitions. Zbl 1188.35091
Sire, Yannick; Valdinoci, Enrico
16
2009
Rigidity results for elliptic PDEs with uniform limits: an abstract framework with applications. Zbl 1239.35192
Farina, Alberto; Valdinoci, Enrico
16
2011
Nonlocal Delaunay surfaces. Zbl 1341.53006
Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico
15
2016
Elliptic two-dimensional invariant tori for the planetary three-body problem. Zbl 1036.70006
Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico
15
2003
Overdetermined problems in unbounded domains with Lipschitz singularities. Zbl 1211.35206
Farina, Alberto; Valdinoci, Enrico
15
2010
Minimization of a fractional perimeter-Dirichlet integral functional. Zbl 1323.35216
Caffarelli, Luis; Savin, Ovidiu; Valdinoci, Enrico
14
2015
A logistic equation with nonlocal interactions. Zbl 1356.35261
Caffarelli, Luis; Dipierro, Serena; Valdinoci, Enrico
14
2017
Pohozaev identities for anisotropic integrodifferential operators. Zbl 1381.35048
Ros-Oton, Xavier; Serra, Joaquim; Valdinoci, Enrico
14
2017
A three-dimensional symmetry result for a phase transition equation in the genuinely nonlocal regime. Zbl 1398.35266
Dipierro, Serena; Farina, Alberto; Valdinoci, Enrico
14
2018
Decay estimates for evolutionary equations with fractional time-diffusion. Zbl 1461.35049
Dipierro, Serena; Valdinoci, Enrico; Vespri, Vincenzo
14
2019
Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs. Zbl 1357.35153
Cozzi, Matteo; Farina, Alberto; Valdinoci, Enrico
13
2016
Elliptic PDEs with fibered nonlinearities. Zbl 1177.35103
Savin, Ovidiu; Valdinoci, Enrico
13
2009
Density estimates for a degenerate/Singular phase-transition model. Zbl 1162.35381
Petrosyan, Arshak; Valdinoci, Enrico
13
2005
A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane. Zbl 1358.45004
Hamel, François; Ros-Oton, Xavier; Sire, Yannick; Valdinoci, Enrico
12
2017
Asymptotically linear problems driven by fractional Laplacian operators. Zbl 1333.49012
Fiscella, Alessio; Servadei, Raffaella; Valdinoci, Enrico
12
2015
Entropy penalization methods for Hamilton-Jacobi equations. Zbl 1119.70013
Gomes, Diogo A.; Valdinoci, Enrico
12
2007
Symmetry for a Dirichlet-Neumann problem arising in water waves. Zbl 1202.35066
de la Llave, Rafael; Valdinoci, Enrico
12
2009
Nonlocal minimal surfaces: interior regularity, quantitative estimates and boundary stickiness. Zbl 1406.49048
Dipierro, Serena; Valdinoci, Enrico
12
2018
On stationary fractional mean field games. Zbl 1405.35246
Cesaroni, Annalisa; Cirant, Marco; Dipierro, Serena; Novaga, Matteo; Valdinoci, Enrico
12
2019
Regularity and rigidity theorems for a class of anisotropic nonlocal operators. Zbl 06714544
Farina, Alberto; Valdinoci, Enrico
12
2017
Partially and globally overdetermined problems of elliptic type. Zbl 1277.35269
Farina, Alberto; Valdinoci, Enrico
11
2012
A geometric inequality in the Heisenberg group and its applications to stable solutions of semilinear problems. Zbl 1173.35057
Ferrari, Fausto; Valdinoci, Enrico
11
2009
On a Poincaré type formula for solutions of singular and degenerate elliptic equations. Zbl 1195.35155
Farina, Alberto; Sciunzi, Berardino; Valdinoci, Enrico
11
2010
A pointwise gradient estimate in possibly unbounded domains with nonnegative mean curvature. Zbl 1200.35131
Farina, Alberto; Valdinoci, Enrico
11
2010
Stable solutions of elliptic equations on Riemannian manifolds with Euclidean coverings. Zbl 1238.58011
Farina, Alberto; Sire, Yannick; Valdinoci, Enrico
11
2012
Complete stickiness of nonlocal minimal surfaces for small values of the fractional parameter. Zbl 1411.49026
Bucur, Claudia; Lombardini, Luca; Valdinoci, Enrico
11
2019
Definition of fractional Laplacian for functions with polynomial growth. Zbl 1428.35660
Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico
11
2019
A simple mathematical model inspired by the Purkinje cells: from delayed travelling waves to fractional diffusion. Zbl 1402.35284
Dipierro, Serena; Valdinoci, Enrico
11
2018
Crystal dislocations with different orientations and collisions. Zbl 1321.35234
Patrizi, Stefania; Valdinoci, Enrico
10
2015
Critical points inside the gaps of ground state laminations for some models in statistical mechanics. Zbl 1132.82010
de la Llave, Rafael; Valdinoci, Enrico
10
2007
Geometry of quasiminimal phase transitions. Zbl 1156.35018
Farina, Alberto; Valdinoci, Enrico
10
2008
The Bernstein technique for integro-differential equations. Zbl 07488601
Cabré, Xavier; Dipierro, Serena; Valdinoci, Enrico
1
2022
Mixed local and nonlocal elliptic operators: regularity and maximum principles. Zbl 07502820
Biagi, Stefano; Dipierro, Serena; Valdinoci, Enrico; Vecchi, Eugenio
1
2022
Radial symmetry of solutions to anisotropic and weighted diffusion equations with discontinuous nonlinearities. Zbl 1485.35014
Dipierro, Serena; Poggesi, Giorgio; Valdinoci, Enrico
1
2022
Semilinear elliptic equations involving mixed local and nonlocal operators. Zbl 1473.35622
Biagi, Stefano; Vecchi, Eugenio; Dipierro, Serena; Valdinoci, Enrico
5
2021
A Serrin-type problem with partial knowledge of the domain. Zbl 1462.35209
Dipierro, Serena; Poggesi, Giorgio; Valdinoci, Enrico
5
2021
Description of an ecological niche for a mixed local/nonlocal dispersal: an evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy processes. Zbl 07460689
Dipierro, Serena; Valdinoci, Enrico
3
2021
Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities. Zbl 1458.35166
Cavaterra, Cecilia; Dipierro, Serena; Farina, Alberto; Gao, Zu; Valdinoci, Enrico
2
2021
Global gradient estimates for nonlinear parabolic operators. Zbl 1469.35068
Dipierro, Serena; Gao, Zu; Valdinoci, Enrico
1
2021
Improvement of flatness for nonlocal phase transitions. Zbl 1445.35302
Dipierro, Serena; Serra, Joaquim; Valdinoci, Enrico
7
2020
Local density of Caputo-stationary functions of any order. Zbl 1447.26004
Carbotti, Alessandro; Dipierro, Serena; Valdinoci, Enrico
5
2020
Nonlocal minimal graphs in the plane are generically sticky. Zbl 1450.49021
Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico
4
2020
Singularity formation in fractional Burgers’ equations. Zbl 1443.35165
Coclite, Giuseppe Maria; Dipierro, Serena; Maddalena, Francesco; Valdinoci, Enrico
4
2020
Symmetry results for the solutions of a partial differential equation arising in water waves. Zbl 1441.35253
Dipierro, Serena; Miraglio, Pietro; Valdinoci, Enrico
4
2020
One-dimensional symmetry for the solutions of a three-dimensional water wave problem. Zbl 1437.35173
Cinti, Eleonora; Miraglio, Pietro; Valdinoci, Enrico
3
2020
A free boundary problem driven by the biharmonic operator. Zbl 1469.31007
Dipierro, Serena; Karakhanyan, Aram; Valdinoci, Enrico
3
2020
A symmetry result for cooperative elliptic systems with singularities. Zbl 1447.35148
Biagi, Stefano; Valdinoci, Enrico; Vecchi, Eugenio
3
2020
Unique continuation principles in cones under nonzero Neumann boundary conditions. Zbl 1479.35287
Dipierro, Serena; Felli, Veronica; Valdinoci, Enrico
2
2020
On the mean value property of fractional harmonic functions. Zbl 1448.35016
Bucur, Claudia; Dipierro, Serena; Valdinoci, Enrico
2
2020
Boundary properties of fractional objects: flexibility of linear equations and rigidity of minimal graphs. Zbl 1455.35283
Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico
2
2020
Minimisers of a fractional seminorm and nonlocal minimal surfaces. Zbl 1458.35447
Bucur, Claudia; Dipierro, Serena; Lombardini, Luca; Valdinoci, Enrico
2
2020
Rigidity results for elliptic boundary value problems: stable solutions for quasilinear equations with Neumann or Robin boundary conditions. Zbl 1437.35232
Dipierro, Serena; Pinamonti, Andrea; Valdinoci, Enrico
1
2020
Energy asymptotics of a Dirichlet to Neumann problem related to water waves. Zbl 1453.76026
Miraglio, Pietro; Valdinoci, Enrico
1
2020
Decay estimates in time for classical and anomalous diffusion. Zbl 1447.35045
Affili, Elisa; Dipierro, Serena; Valdinoci, Enrico
1
2020
Convex sets evolving by volume-preserving fractional mean curvature flows. Zbl 1462.53084
Cinti, Eleonora; Sinestrari, Carlo; Valdinoci, Enrico
1
2020
Getting acquainted with the fractional Laplacian. Zbl 1432.35216
Abatangelo, Nicola; Valdinoci, Enrico
36
2019
Quantitative flatness results and \(BV\)-estimates for stable nonlocal minimal surfaces. Zbl 1420.53014
Cinti, Eleonora; Serra, Joaquim; Valdinoci, Enrico
21
2019
Local density of solutions to fractional equations. Zbl 07089131
Carbotti, Alessandro; Dipierro, Serena; Valdinoci, Enrico
21
2019
Local approximation of arbitrary functions by solutions of nonlocal equations. Zbl 1461.35211
Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico
20
2019
Decay estimates for evolutionary equations with fractional time-diffusion. Zbl 1461.35049
Dipierro, Serena; Valdinoci, Enrico; Vespri, Vincenzo
14
2019
On stationary fractional mean field games. Zbl 1405.35246
Cesaroni, Annalisa; Cirant, Marco; Dipierro, Serena; Novaga, Matteo; Valdinoci, Enrico
12
2019
Complete stickiness of nonlocal minimal surfaces for small values of the fractional parameter. Zbl 1411.49026
Bucur, Claudia; Lombardini, Luca; Valdinoci, Enrico
11
2019
Definition of fractional Laplacian for functions with polynomial growth. Zbl 1428.35660
Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico
11
2019
Decay estimates for evolution equations with classical and fractional time-derivatives. Zbl 1407.35025
Affili, Elisa; Valdinoci, Enrico
9
2019
Overdetermined problems for the fractional Laplacian in exterior and annular sets. Zbl 1418.35171
Soave, Nicola; Valdinoci, Enrico
9
2019
On the evolution by fractional mean curvature. Zbl 1411.35274
Sáez, Mariel; Valdinoci, Enrico
8
2019
Wellposedness of a nonlinear peridynamic model. Zbl 1404.74102
Coclite, Giuseppe Maria; Dipierro, Serena; Maddalena, Francesco; Valdinoci, Enrico
7
2019
Fattening and nonfattening phenomena for planar nonlocal curvature flows. Zbl 1426.53095
Cesaroni, Annalisa; Dipierro, Serena; Novaga, Matteo; Valdinoci, Enrico
7
2019
Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature. Zbl 1416.58012
Dipierro, Serena; Pinamonti, Andrea; Valdinoci, Enrico
3
2019
Liouville type results for a nonlocal obstacle problem. Zbl 1475.45017
Brasseur, Julien; Coville, Jérôme; Hamel, François; Valdinoci, Enrico
3
2019
On a Minkowski geometric flow in the plane: evolution of curves with lack of scale invariance. Zbl 1427.53110
Dipierro, Serena; Novaga, Matteo; Valdinoci, Enrico
2
2019
Limit behaviour of a singular perturbation problem for the biharmonic operator. Zbl 1429.31004
Dipierro, Serena; Karakhanyan, Aram L.; Valdinoci, Enrico
2
2019
Gradient estimates for a class of anisotropic nonlocal operators. Zbl 1418.35360
Farina, Alberto; Valdinoci, Enrico
1
2019
Flatness results for nonlocal minimal cones and subgraphs. Zbl 1445.49020
Farina, Alberto; Valdinoci, Enrico
1
2019
Minimizers of the \(p\)-oscillation functional. Zbl 1435.35021
Cesaroni, Annalisa; Dipierro, Serena; Novaga, Matteo; Valdinoci, Enrico
1
2019
A three-dimensional symmetry result for a phase transition equation in the genuinely nonlocal regime. Zbl 1398.35266
Dipierro, Serena; Farina, Alberto; Valdinoci, Enrico
14
2018
Nonlocal minimal surfaces: interior regularity, quantitative estimates and boundary stickiness. Zbl 1406.49048
Dipierro, Serena; Valdinoci, Enrico
12
2018
A simple mathematical model inspired by the Purkinje cells: from delayed travelling waves to fractional diffusion. Zbl 1402.35284
Dipierro, Serena; Valdinoci, Enrico
11
2018
Neckpinch singularities in fractional mean curvature flows. Zbl 1390.53068
Cinti, Eleonora; Sinestrari, Carlo; Valdinoci, Enrico
10
2018
Optimizing the fractional power in a model with stochastic PDE constraints. Zbl 06992805
Geldhauser, Carina; Valdinoci, Enrico
4
2018
Planelike minimizers of nonlocal Ginzburg-Landau energies and fractional perimeters in periodic media. Zbl 1393.35269
Cozzi, Matteo; Valdinoci, Enrico
4
2018
Minimizers for nonlocal perimeters of Minkowski type. Zbl 1391.49077
Cesaroni, Annalisa; Dipierro, Serena; Novaga, Matteo; Valdinoci, Enrico
3
2018
(non)local and (non)linear free boundary problems. Zbl 1386.35489
Dipierro, Serena; Valdinoci, Enrico
2
2018
On stable solutions of boundary reaction-diffusion equations and applications to nonlocal problems with Neumann data. Zbl 1405.35051
Dipierro, Serena; Soave, Nicola; Valdinoci, Enrico
2
2018
All functions are (locally) \(s\)-harmonic (up to a small error) – and applications. Zbl 1405.35253
Valdinoci, Enrico
2
2018
A nonlocal concave-convex problem with nonlocal mixed boundary data. Zbl 1395.35190
Abdellaoui, Boumediene; Dieb, Abdelrazek; Valdinoci, Enrico
1
2018
Density estimates for degenerate double-well potentials. Zbl 1404.35184
Dipierro, Serena; Farina, Alberto; Valdinoci, Enrico
1
2018
Nonlocal problems with Neumann boundary conditions. Zbl 1371.35322
Dipierro, Serena; Ros-Oton, Xavier; Valdinoci, Enrico
86
2017
Fractional elliptic problems with critical growth in the whole of \(\mathbb R^n\). Zbl 1375.49001
Dipierro, Serena; Medina, María; Valdinoci, Enrico
66
2017
All functions are locally \(s\)-harmonic up to a small error. Zbl 1371.35323
Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico
40
2017
On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results. Zbl 1388.35208
Dipierro, Serena; Soave, Nicola; Valdinoci, Enrico
32
2017
Bifurcation results for a fractional elliptic equation with critical exponent in \(\mathbb {R}^n\). Zbl 1377.35262
Dipierro, Serena; Medina, María; Peral, Ireneo; Valdinoci, Enrico
28
2017
Regularity and Bernstein-type results for nonlocal minimal surfaces. Zbl 1380.49060
Figalli, Alessio; Valdinoci, Enrico
27
2017
Boundary behavior of nonlocal minimal surfaces. Zbl 1358.49038
Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico
24
2017
A new type of identification problems: optimizing the fractional order in a nonlocal evolution equation. Zbl 1394.49033
Sprekels, Jürgen; Valdinoci, Enrico
23
2017
Is a nonlocal diffusion strategy convenient for biological populations in competition? Zbl 1362.35312
Massaccesi, Annalisa; Valdinoci, Enrico
20
2017
A logistic equation with nonlocal interactions. Zbl 1356.35261
Caffarelli, Luis; Dipierro, Serena; Valdinoci, Enrico
14
2017
Pohozaev identities for anisotropic integrodifferential operators. Zbl 1381.35048
Ros-Oton, Xavier; Serra, Joaquim; Valdinoci, Enrico
14
2017
A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane. Zbl 1358.45004
Hamel, François; Ros-Oton, Xavier; Sire, Yannick; Valdinoci, Enrico
12
2017
Regularity and rigidity theorems for a class of anisotropic nonlocal operators. Zbl 06714544
Farina, Alberto; Valdinoci, Enrico
12
2017
Chaotic orbits for systems of nonlocal equations. Zbl 1386.35416
Dipierro, Serena; Patrizi, Stefania; Valdinoci, Enrico
9
2017
Planelike interfaces in long-range Ising models and connections with nonlocal minimal surfaces. Zbl 1376.82049
Cozzi, Matteo; Dipierro, Serena; Valdinoci, Enrico
8
2017
Long-time behavior for crystal dislocation dynamics. Zbl 1377.82040
Patrizi, Stefania; Valdinoci, Enrico
8
2017
Continuity and density results for a one-phase nonlocal free boundary problem. Zbl 1386.35490
Dipierro, Serena; Valdinoci, Enrico
7
2017
Capillarity problems with nonlocal surface tension energies. Zbl 1386.76047
Maggi, Francesco; Valdinoci, Enrico
7
2017
Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium. Zbl 1430.74050
Cozzi, Matteo; Valdinoci, Enrico
6
2017
The effect on Fisher-KPP propagation in a cylinder with fast diffusion on the boundary. Zbl 1386.35211
Rossi, Luca; Tellini, Andrea; Valdinoci, Enrico
6
2017
Nonlocal phase transitions in homogeneous and periodic media. Zbl 1366.35214
Cozzi, Matteo; Dipierro, Serena; Valdinoci, Enrico
4
2017
A class of unstable free boundary problems. Zbl 1368.35279
Dipierro, Serena; Karakhanyan, Aram; Valdinoci, Enrico
3
2017
Asymptotic expansions of the contact angle in nonlocal capillarity problems. Zbl 1386.76046
Dipierro, Serena; Maggi, Francesco; Valdinoci, Enrico
3
2017
A nonlinear free boundary problem with a self-driven Bernoulli condition. Zbl 1386.35488
Dipierro, Serena; Karakhanyan, Aram; Valdinoci, Enrico
2
2017
New trends in free boundary problems. Zbl 1364.35444
Dipierro, Serena; Karakhanyan, Aram; Valdinoci, Enrico
2
2017
A rigidity result for non-local semilinear equations. Zbl 1386.35432
Farina, Alberto; Valdinoci, Enrico
2
2017
Rigidity of critical points for a nonlocal Ohta-Kawasaki energy. Zbl 1366.49049
Dipierro, Serena; Novaga, Matteo; Valdinoci, Enrico
1
2017
Nonlocal diffusion and applications. Zbl 1377.35002
Bucur, Claudia; Valdinoci, Enrico
187
2016
The Dirichlet problem for nonlocal operators with singular kernels: convex and nonconvex domains. Zbl 1334.35397
Ros-Oton, Xavier; Valdinoci, Enrico
17
2016
Graph properties for nonlocal minimal surfaces. Zbl 1354.49088
Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico
17
2016
Nonlocal Delaunay surfaces. Zbl 1341.53006
Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico
15
2016
Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs. Zbl 1357.35153
Cozzi, Matteo; Farina, Alberto; Valdinoci, Enrico
13
2016
Relaxation times for atom dislocations in crystals. Zbl 1348.82084
Patrizi, Stefania; Valdinoci, Enrico
7
2016
1D symmetry for semilinear PDEs from the limit interface of the solution. Zbl 1346.35064
Farina, Alberto; Valdinoci, Enrico
6
2016
Nonlocal phase transitions: rigidity results and anisotropic geometry. Zbl 1440.35342
Dipierro, S.; Serra, J.; Valdinoci, E.
5
2016
The Brezis-Nirenberg result for the fractional Laplacian. Zbl 1323.35202
Servadei, Raffaella; Valdinoci, Enrico
271
2015
Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215
Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico
82
2015
Density properties for fractional Sobolev spaces. Zbl 1346.46025
Fiscella, Alessio; Servadei, Raffaella; Valdinoci, Enrico
78
2015
Ground states and concentration phenomena for the fractional Schrödinger equation. Zbl 1320.35320
Fall, Mouhamed Moustapha; Mahmoudi, Fethi; Valdinoci, Enrico
71
2015
Fractional Laplacian equations with critical Sobolev exponent. Zbl 1338.35481
Servadei, Raffaella; Valdinoci, Enrico
47
2015
Dislocation dynamics in crystals: a macroscopic theory in a fractional Laplace setting. Zbl 1311.35313
Dipierro, Serena; Palatucci, Giampiero; Valdinoci, Enrico
36
2015
A density property for fractional weighted Sobolev spaces. Zbl 1346.46024
Dipierro, Serena; Valdinoci, Enrico
18
2015
Nonlocal quantitative isoperimetric inequalities. Zbl 1333.49061
Di Castro, Agnese; Novaga, Matteo; Ruffini, Berardo; Valdinoci, Enrico
17
2015
Minimization of a fractional perimeter-Dirichlet integral functional. Zbl 1323.35216
Caffarelli, Luis; Savin, Ovidiu; Valdinoci, Enrico
14
2015
...and 110 more Documents
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Cited by 2,590 Authors

151 Valdinoci, Enrico
69 Dipierro, Serena
62 Ambrosio, Vincenzo
57 Zhang, Binlin
44 Xiang, Mingqi
40 Farina, Alberto
35 Molica Bisci, Giovanni
34 Novaga, Matteo
34 Squassina, Marco
28 Sire, Yannick
28 Vazquez, Juan Luis
27 Tang, Xianhua
27 Wei, Juncheng
26 Warma, Mahamadi
25 Rădulescu, Vicenţiu D.
25 Sreenadh, Konijeti
24 Miyagaki, Olimpio Hiroshi
24 Pucci, Patrizia
22 Fall, Mouhamed Moustapha
22 Fiscella, Alessio
20 Servadei, Raffaella
20 Teng, Kaimin
19 Sciunzi, Berardino
18 Savin, Ovidiu V.
17 Abdellaoui, Boumediene
17 Cesaroni, Annalisa
17 Jarohs, Sven
16 Azroul, Elhoussine
16 Peral Alonso, Ireneo
16 Topp, Erwin
16 Weth, Tobias
15 Cozzi, Matteo
15 Giacomoni, Jacques
15 Isernia, Teresa
15 Torres Ledesma, César Enrique
15 Zhang, Jihui
14 Antil, Harbir
14 Barrios Barrera, Begoña
14 Chen, Caisheng
14 Chen, Huyuan
14 Chen, Wenjing
14 de la Llave, Rafael
14 Figueiredo, Giovany Malcher
14 Pinamonti, Andrea
14 Quaas, Alexander
14 Repovš, Dušan D.
14 Ros-Oton, Xavier
13 Alves, Claudianor Oliveira
13 Benkirane, Abdelmoujib
13 Choudhuri, Debajyoti
13 Montoro, Luigi
13 Mugnai, Dimitri
13 Palatucci, Giampiero
13 Rossi, Julio Daniel
13 Salort, Ariel Martin
13 Saoudi, Kamel
13 Wang, Bixiang
12 Abatangelo, Nicola
12 Caffarelli, Luis Ángel
12 Chen, Sitong
12 del Teso, Félix
12 Fernández Bonder, Julián
12 Iannizzotto, Antonio
11 Cabré, Xavier
11 Ciraolo, Giulio
11 Do Ó, João M. Bezerra
11 Ferrari, Fausto
11 Gao, Zu
11 He, Xiaoming
11 Mukherjee, Tuhina
11 Serra Montolí, Joaquim
11 Shang, Xudong
11 Shu, Ji
11 Vecchi, Eugenio
11 Yang, Jianfu
10 Bhakta, Mousomi
10 Bucur, Claudia
10 Del Pezzo, Leandro M.
10 Du, Qiang
10 Fazly, Mostafa
10 Felmer, Patricio L.
10 Gui, Changfeng
10 Luo, Huxiao
10 Medina, Maria
10 Rüland, Angkana
10 Schikorra, Armin
9 Del Pino, Manuel A.
9 Du, Zhuoran
9 Fu, Yongqiang
9 Liang, Sihua
9 Lin, Yi-Hsuan
9 Liu, Weiming
9 Musina, Roberta
9 Nazarov, Alexander I.
9 Niu, Miaomiao
9 Primo, Ana R. M.
9 Punzo, Fabio
9 Tang, Zhongwei
9 Wang, Kelei
9 Yang, Hongwei
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Cited in 309 Serials

167 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
122 Journal of Differential Equations
119 Calculus of Variations and Partial Differential Equations
95 Communications on Pure and Applied Analysis
94 Journal of Mathematical Analysis and Applications
73 Discrete and Continuous Dynamical Systems
61 Journal of Functional Analysis
60 Complex Variables and Elliptic Equations
58 Journal of Mathematical Physics
46 Advanced Nonlinear Studies
46 Boundary Value Problems
43 Advances in Nonlinear Analysis
42 Archive for Rational Mechanics and Analysis
40 NoDEA. Nonlinear Differential Equations and Applications
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30 Nonlinearity
29 ZAMP. Zeitschrift für angewandte Mathematik und Physik
28 SIAM Journal on Mathematical Analysis
27 Annali di Matematica Pura ed Applicata. Serie Quarta
27 Journal de Mathématiques Pures et Appliquées. Neuvième Série
26 Topological Methods in Nonlinear Analysis
26 Mediterranean Journal of Mathematics
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24 Proceedings of the American Mathematical Society
24 The Journal of Geometric Analysis
24 Fractional Calculus & Applied Analysis
23 Discrete and Continuous Dynamical Systems. Series B
21 Electronic Journal of Differential Equations (EJDE)
20 AIMS Mathematics
18 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
17 Mathematische Annalen
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17 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
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15 Mathematical Methods in the Applied Sciences
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14 Manuscripta Mathematica
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11 Transactions of the American Mathematical Society
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11 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
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10 Rocky Mountain Journal of Mathematics
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9 Zeitschrift für Analysis und ihre Anwendungen
9 Journal of Nonlinear Science
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8 Numerische Mathematik
8 SIAM Journal on Control and Optimization
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Computational Mathematics and Mathematical Physics
8 Celestial Mechanics and Dynamical Astronomy
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7 Journal d’Analyse Mathématique
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7 Annales Academiae Scientiarum Fennicae. Mathematica
7 Analysis & PDE
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6 Inverse Problems
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6 Ergodic Theory and Dynamical Systems
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6 Nonlinear Analysis. Modelling and Control
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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