Edit Profile (opens in new tab) Valdinoci, Enrico Compute Distance To: Compute Author ID: valdinoci.enrico Published as: Valdinoci, Enrico; Valdinoci, E. Homepage: https://research-repository.uwa.edu.au/en/persons/enrico-valdinoci External Links: MGP · ORCID · dblp Documents Indexed: 232 Publications since 2000, including 4 Books 9 Contributions as Editor · 1 Further Contribution Reviewing Activity: 18 Reviews Co-Authors: 103 Co-Authors with 230 Joint Publications 2,426 Co-Co-Authors 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 all top 5 Fields 203 Partial differential equations (35-XX) 58 Calculus of variations and optimal control; optimization (49-XX) 30 Differential geometry (53-XX) 21 Operator theory (47-XX) 20 Global analysis, analysis on manifolds (58-XX) 18 Statistical mechanics, structure of matter (82-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Integral equations (45-XX) 12 Real functions (26-XX) 12 Fluid mechanics (76-XX) 11 Ordinary differential equations (34-XX) 10 Mechanics of deformable solids (74-XX) 9 General and overarching topics; collections (00-XX) 9 Probability theory and stochastic processes (60-XX) 7 Functional analysis (46-XX) 7 Mechanics of particles and systems (70-XX) 5 Potential theory (31-XX) 5 Biology and other natural sciences (92-XX) 4 Measure and integration (28-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications 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 1252.46023Di Nezza, Eleonora; Palatucci, Giampiero; Valdinoci, Enrico 1,689 2012 Mountain pass solutions for non-local elliptic operators. Zbl 1234.35291Servadei, Raffaella; Valdinoci, Enrico 351 2012 Variational methods for non-local operators of elliptic type. Zbl 1303.35121Servadei, Raffaella; Valdinoci, Enrico 340 2013 The Brezis-Nirenberg result for the fractional Laplacian. Zbl 1323.35202Servadei, Raffaella; Valdinoci, Enrico 271 2015 A critical Kirchhoff type problem involving a nonlocal operator. Zbl 1283.35156Fiscella, Alessio; Valdinoci, Enrico 210 2014 Nonlocal diffusion and applications. Zbl 1377.35002Bucur, Claudia; Valdinoci, Enrico 187 2016 On the spectrum of two different fractional operators. Zbl 1304.35752Servadei, Raffaella; Valdinoci, Enrico 155 2014 Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result. Zbl 1163.35019Sire, Yannick; Valdinoci, Enrico 145 2009 Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian. Zbl 1287.35023Dipierro, Serena; Palatucci, Giampiero; Valdinoci, Enrico 139 2013 A Brezis-Nirenberg result for non-local critical equations in low dimension. Zbl 1302.35413Servadei, Raffaella; Valdinoci, Enrico 126 2013 From the long jump random walk to the fractional Laplacian. Zbl 1242.60047Valdinoci, Enrico 123 2009 Weak and viscosity solutions of the fractional Laplace equation. Zbl 1292.35315Servadei, Raffaella; Valdinoci, Enrico 105 2014 Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators. Zbl 1275.49016Servadei, Raffaella; Valdinoci, Enrico 104 2013 Nonlocal problems with Neumann boundary conditions. Zbl 1371.35322Dipierro, Serena; Ros-Oton, Xavier; Valdinoci, Enrico 86 2017 Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico 82 2015 Uniform estimates and limiting arguments for nonlocal minimal surfaces. Zbl 1357.49143Caffarelli, Luis; Valdinoci, Enrico 79 2011 Density properties for fractional Sobolev spaces. Zbl 1346.46025Fiscella, Alessio; Servadei, Raffaella; Valdinoci, Enrico 78 2015 Local and global minimizers for a variational energy involving a fractional norm. Zbl 1278.82022Palatucci, Giampiero; Savin, Ovidiu; Valdinoci, Enrico 76 2013 Ground states and concentration phenomena for the fractional Schrödinger equation. Zbl 1320.35320Fall, Mouhamed Moustapha; Mahmoudi, Fethi; Valdinoci, Enrico 71 2015 Fractional elliptic problems with critical growth in the whole of \(\mathbb R^n\). Zbl 1375.49001Dipierro, Serena; Medina, María; Valdinoci, Enrico 66 2017 Bernstein and De Giorgi type problems: new results via a geometric approach. Zbl 1180.35251Farina, Alberto; Sciunzi, Berardino; Valdinoci, Enrico 66 2008 \(\Gamma \)-convergence for nonlocal phase transitions. Zbl 1253.49008Savin, Ovidiu; Valdinoci, Enrico 66 2012 Flattening results for elliptic PDEs in unbounded domains with applications to overdetermined problems. Zbl 1236.35058Farina, Alberto; Valdinoci, Enrico 53 2010 Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces. Zbl 1316.35061Barrios, Begoña; Figalli, Alessio; Valdinoci, Enrico 50 2014 Regularity properties of nonlocal minimal surfaces via limiting arguments. Zbl 1284.53008Caffarelli, Luis; Valdinoci, Enrico 47 2013 Fractional Laplacian equations with critical Sobolev exponent. Zbl 1338.35481Servadei, Raffaella; Valdinoci, Enrico 47 2015 Liouville results for \(m\)-Laplace equations of Lane-Emden-Fowler type. Zbl 1172.35405Damascelli, Lucio; Farina, Alberto; Sciunzi, Berardino; Valdinoci, Enrico 45 2009 The state of the art for a conjecture of de Giorgi and related problems. Zbl 1183.35137Farina, Alberto; Valdinoci, Enrico 44 2009 Density estimates for a variational model driven by the Gagliardo norm. Zbl 1278.49016Savin, Ovidiu; Valdinoci, Enrico 43 2014 Regularity of nonlocal minimal cones in dimension 2. Zbl 1275.35065Savin, Ovidiu; Valdinoci, Enrico 43 2013 All functions are locally \(s\)-harmonic up to a small error. Zbl 1371.35323Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico 40 2017 A Widder’s type theorem for the heat equation with nonlocal diffusion. Zbl 1310.35226Barrios, Begoña; Peral, Ireneo; Soria, Fernando; Valdinoci, Enrico 38 2014 Dislocation dynamics in crystals: a macroscopic theory in a fractional Laplace setting. Zbl 1311.35313Dipierro, Serena; Palatucci, Giampiero; Valdinoci, Enrico 36 2015 Getting acquainted with the fractional Laplacian. Zbl 1432.35216Abatangelo, 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 1304.35746Fall, Mouhamed Moustapha; Valdinoci, Enrico 33 2014 Asymptotics of the \(s\)-perimeter as \(s \searrow 0\). Zbl 1275.49083Dipierro, Serena; Figalli, Alessio; Palatucci, Giampiero; Valdinoci, Enrico 33 2013 On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results. Zbl 1388.35208Dipierro, Serena; Soave, Nicola; Valdinoci, Enrico 32 2017 Splitting theorems, symmetry results and overdetermined problems for Riemannian manifolds. Zbl 1287.58011Farina, Alberto; Mari, Luciano; Valdinoci, Enrico 31 2013 A notion of nonlocal curvature. Zbl 1296.53021Abatangelo, Nicola; Valdinoci, Enrico 29 2014 Strongly nonlocal dislocation dynamics in crystals. Zbl 1304.35731Dipierro, Serena; Figalli, Alessio; Valdinoci, Enrico 28 2014 Stable solutions of elliptic equations on Riemannian manifolds. Zbl 1273.53029Farina, Alberto; Sire, Yannick; Valdinoci, Enrico 28 2013 Bifurcation results for a fractional elliptic equation with critical exponent in \(\mathbb {R}^n\). Zbl 1377.35262Dipierro, Serena; Medina, María; Peral, Ireneo; Valdinoci, Enrico 28 2017 Regularity and Bernstein-type results for nonlocal minimal surfaces. Zbl 1380.49060Figalli, Alessio; Valdinoci, Enrico 27 2017 Plane-like minimizers in periodic media: jet flows and Ginzburg-Landau-type functionals. Zbl 1210.76132Valdinoci, Enrico 27 2004 Multiplicity results for interfaces of Ginzburg-Landau-Allen-Cahn equations in periodic media. Zbl 1152.35038de la Llave, Rafael; Valdinoci, Enrico 26 2007 1D symmetry for solutions of semilinear and quasilinear elliptic equations. Zbl 1228.35105Farina, Alberto; Valdinoci, Enrico 25 2011 Boundary behavior of nonlocal minimal surfaces. Zbl 1358.49038Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico 24 2017 Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations. Zbl 1303.49001Cozzi, Matteo; Farina, Alberto; Valdinoci, Enrico 23 2014 A new type of identification problems: optimizing the fractional order in a nonlocal evolution equation. Zbl 1394.49033Sprekels, Jürgen; Valdinoci, Enrico 23 2017 Upper bounds on Arnold diffusion time via Mather theory. Zbl 0986.37052Bessi, Ugo; Chierchia, Luigi; Valdinoci, Enrico 22 2001 A generalization of Aubry-Mather theory to partial differential equations and pseudo-differential equations. Zbl 1171.35372de la Llave, Rafael; Valdinoci, Enrico 22 2009 \(N\)-dimensional elliptic invariant tori for the planar \((N+1)\)-body problem. Zbl 1096.70005Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico 22 2006 A resonance problem for non-local elliptic operators. Zbl 1278.49009Fiscella, Alessio; Servadei, Raffaella; Valdinoci, Enrico 21 2013 A fractional framework for perimeters and phase transitions. Zbl 1264.35269Valdinoci, Enrico 21 2013 Quantitative flatness results and \(BV\)-estimates for stable nonlocal minimal surfaces. Zbl 1420.53014Cinti, Eleonora; Serra, Joaquim; Valdinoci, Enrico 21 2019 Local density of solutions to fractional equations. Zbl 07089131Carbotti, Alessandro; Dipierro, Serena; Valdinoci, Enrico 21 2019 On partially and globally overdetermined problems of elliptic type. Zbl 1312.35138Farina, Alberto; Valdinoci, Enrico 20 2013 Is a nonlocal diffusion strategy convenient for biological populations in competition? Zbl 1362.35312Massaccesi, Annalisa; Valdinoci, Enrico 20 2017 Local approximation of arbitrary functions by solutions of nonlocal equations. Zbl 1461.35211Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico 20 2019 Some monotonicity results for minimizers in the calculus of variations. Zbl 1278.49029Savin, Ovidiu; Valdinoci, Enrico 19 2013 Density estimates for a nonlocal variational model via the Sobolev inequality. Zbl 1233.35201Savin, Ovidiu; Valdinoci, Enrico 19 2011 Ground states and critical points for generalized Frenkel-Kontorova models in \(\mathbb Z^d\). Zbl 1206.82026de la Llave, Rafael; Valdinoci, Enrico 19 2007 Flat level set regularity of \(p\)-Laplace phase transitions. Zbl 1138.35029Valdinoci, Enrico; Sciunzi, Berardino; Savin, Vasile Ovidiu 19 2006 A density property for fractional weighted Sobolev spaces. Zbl 1346.46024Dipierro, Serena; Valdinoci, Enrico 18 2015 Ground states and critical points for Aubry-Mather theory in Statistical mechanics. Zbl 1196.82095de la Llave, Rafael; Valdinoci, Enrico 18 2010 Nonlocal quantitative isoperimetric inequalities. Zbl 1333.49061Di Castro, Agnese; Novaga, Matteo; Ruffini, Berardo; Valdinoci, Enrico 17 2015 The Dirichlet problem for nonlocal operators with singular kernels: convex and nonconvex domains. Zbl 1334.35397Ros-Oton, Xavier; Valdinoci, Enrico 17 2016 Graph properties for nonlocal minimal surfaces. Zbl 1354.49088Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico 17 2016 Gradient bounds for anisotropic partial differential equations. Zbl 1288.35131Farina, Alberto; Valdinoci, Enrico 16 2014 Rigidity results for some boundary quasilinear phase transitions. Zbl 1188.35091Sire, Yannick; Valdinoci, Enrico 16 2009 Rigidity results for elliptic PDEs with uniform limits: an abstract framework with applications. Zbl 1239.35192Farina, Alberto; Valdinoci, Enrico 16 2011 Nonlocal Delaunay surfaces. Zbl 1341.53006Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico 15 2016 Elliptic two-dimensional invariant tori for the planetary three-body problem. Zbl 1036.70006Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico 15 2003 Overdetermined problems in unbounded domains with Lipschitz singularities. Zbl 1211.35206Farina, Alberto; Valdinoci, Enrico 15 2010 Minimization of a fractional perimeter-Dirichlet integral functional. Zbl 1323.35216Caffarelli, Luis; Savin, Ovidiu; Valdinoci, Enrico 14 2015 A logistic equation with nonlocal interactions. Zbl 1356.35261Caffarelli, Luis; Dipierro, Serena; Valdinoci, Enrico 14 2017 Pohozaev identities for anisotropic integrodifferential operators. Zbl 1381.35048Ros-Oton, Xavier; Serra, Joaquim; Valdinoci, Enrico 14 2017 A three-dimensional symmetry result for a phase transition equation in the genuinely nonlocal regime. Zbl 1398.35266Dipierro, Serena; Farina, Alberto; Valdinoci, Enrico 14 2018 Decay estimates for evolutionary equations with fractional time-diffusion. Zbl 1461.35049Dipierro, Serena; Valdinoci, Enrico; Vespri, Vincenzo 14 2019 Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs. Zbl 1357.35153Cozzi, Matteo; Farina, Alberto; Valdinoci, Enrico 13 2016 Elliptic PDEs with fibered nonlinearities. Zbl 1177.35103Savin, Ovidiu; Valdinoci, Enrico 13 2009 Density estimates for a degenerate/Singular phase-transition model. Zbl 1162.35381Petrosyan, Arshak; Valdinoci, Enrico 13 2005 A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane. Zbl 1358.45004Hamel, François; Ros-Oton, Xavier; Sire, Yannick; Valdinoci, Enrico 12 2017 Asymptotically linear problems driven by fractional Laplacian operators. Zbl 1333.49012Fiscella, Alessio; Servadei, Raffaella; Valdinoci, Enrico 12 2015 Entropy penalization methods for Hamilton-Jacobi equations. Zbl 1119.70013Gomes, Diogo A.; Valdinoci, Enrico 12 2007 Symmetry for a Dirichlet-Neumann problem arising in water waves. Zbl 1202.35066de la Llave, Rafael; Valdinoci, Enrico 12 2009 Nonlocal minimal surfaces: interior regularity, quantitative estimates and boundary stickiness. Zbl 1406.49048Dipierro, Serena; Valdinoci, Enrico 12 2018 On stationary fractional mean field games. Zbl 1405.35246Cesaroni, Annalisa; Cirant, Marco; Dipierro, Serena; Novaga, Matteo; Valdinoci, Enrico 12 2019 Regularity and rigidity theorems for a class of anisotropic nonlocal operators. Zbl 06714544Farina, Alberto; Valdinoci, Enrico 12 2017 Partially and globally overdetermined problems of elliptic type. Zbl 1277.35269Farina, Alberto; Valdinoci, Enrico 11 2012 A geometric inequality in the Heisenberg group and its applications to stable solutions of semilinear problems. Zbl 1173.35057Ferrari, Fausto; Valdinoci, Enrico 11 2009 On a Poincaré type formula for solutions of singular and degenerate elliptic equations. Zbl 1195.35155Farina, Alberto; Sciunzi, Berardino; Valdinoci, Enrico 11 2010 A pointwise gradient estimate in possibly unbounded domains with nonnegative mean curvature. Zbl 1200.35131Farina, Alberto; Valdinoci, Enrico 11 2010 Stable solutions of elliptic equations on Riemannian manifolds with Euclidean coverings. Zbl 1238.58011Farina, Alberto; Sire, Yannick; Valdinoci, Enrico 11 2012 Complete stickiness of nonlocal minimal surfaces for small values of the fractional parameter. Zbl 1411.49026Bucur, Claudia; Lombardini, Luca; Valdinoci, Enrico 11 2019 Definition of fractional Laplacian for functions with polynomial growth. Zbl 1428.35660Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico 11 2019 A simple mathematical model inspired by the Purkinje cells: from delayed travelling waves to fractional diffusion. Zbl 1402.35284Dipierro, Serena; Valdinoci, Enrico 11 2018 Crystal dislocations with different orientations and collisions. Zbl 1321.35234Patrizi, Stefania; Valdinoci, Enrico 10 2015 Critical points inside the gaps of ground state laminations for some models in statistical mechanics. Zbl 1132.82010de la Llave, Rafael; Valdinoci, Enrico 10 2007 Geometry of quasiminimal phase transitions. Zbl 1156.35018Farina, Alberto; Valdinoci, Enrico 10 2008 The Bernstein technique for integro-differential equations. Zbl 07488601Cabré, Xavier; Dipierro, Serena; Valdinoci, Enrico 1 2022 Mixed local and nonlocal elliptic operators: regularity and maximum principles. Zbl 07502820Biagi, Stefano; Dipierro, Serena; Valdinoci, Enrico; Vecchi, Eugenio 1 2022 Radial symmetry of solutions to anisotropic and weighted diffusion equations with discontinuous nonlinearities. Zbl 1485.35014Dipierro, Serena; Poggesi, Giorgio; Valdinoci, Enrico 1 2022 Semilinear elliptic equations involving mixed local and nonlocal operators. Zbl 1473.35622Biagi, Stefano; Vecchi, Eugenio; Dipierro, Serena; Valdinoci, Enrico 5 2021 A Serrin-type problem with partial knowledge of the domain. Zbl 1462.35209Dipierro, 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 07460689Dipierro, Serena; Valdinoci, Enrico 3 2021 Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities. Zbl 1458.35166Cavaterra, Cecilia; Dipierro, Serena; Farina, Alberto; Gao, Zu; Valdinoci, Enrico 2 2021 Global gradient estimates for nonlinear parabolic operators. Zbl 1469.35068Dipierro, Serena; Gao, Zu; Valdinoci, Enrico 1 2021 Improvement of flatness for nonlocal phase transitions. Zbl 1445.35302Dipierro, Serena; Serra, Joaquim; Valdinoci, Enrico 7 2020 Local density of Caputo-stationary functions of any order. Zbl 1447.26004Carbotti, Alessandro; Dipierro, Serena; Valdinoci, Enrico 5 2020 Nonlocal minimal graphs in the plane are generically sticky. Zbl 1450.49021Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico 4 2020 Singularity formation in fractional Burgers’ equations. Zbl 1443.35165Coclite, 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 1441.35253Dipierro, Serena; Miraglio, Pietro; Valdinoci, Enrico 4 2020 One-dimensional symmetry for the solutions of a three-dimensional water wave problem. Zbl 1437.35173Cinti, Eleonora; Miraglio, Pietro; Valdinoci, Enrico 3 2020 A free boundary problem driven by the biharmonic operator. Zbl 1469.31007Dipierro, Serena; Karakhanyan, Aram; Valdinoci, Enrico 3 2020 A symmetry result for cooperative elliptic systems with singularities. Zbl 1447.35148Biagi, Stefano; Valdinoci, Enrico; Vecchi, Eugenio 3 2020 Unique continuation principles in cones under nonzero Neumann boundary conditions. Zbl 1479.35287Dipierro, Serena; Felli, Veronica; Valdinoci, Enrico 2 2020 On the mean value property of fractional harmonic functions. Zbl 1448.35016Bucur, Claudia; Dipierro, Serena; Valdinoci, Enrico 2 2020 Boundary properties of fractional objects: flexibility of linear equations and rigidity of minimal graphs. Zbl 1455.35283Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico 2 2020 Minimisers of a fractional seminorm and nonlocal minimal surfaces. Zbl 1458.35447Bucur, 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 1437.35232Dipierro, Serena; Pinamonti, Andrea; Valdinoci, Enrico 1 2020 Energy asymptotics of a Dirichlet to Neumann problem related to water waves. Zbl 1453.76026Miraglio, Pietro; Valdinoci, Enrico 1 2020 Decay estimates in time for classical and anomalous diffusion. Zbl 1447.35045Affili, Elisa; Dipierro, Serena; Valdinoci, Enrico 1 2020 Convex sets evolving by volume-preserving fractional mean curvature flows. Zbl 1462.53084Cinti, Eleonora; Sinestrari, Carlo; Valdinoci, Enrico 1 2020 Getting acquainted with the fractional Laplacian. Zbl 1432.35216Abatangelo, Nicola; Valdinoci, Enrico 36 2019 Quantitative flatness results and \(BV\)-estimates for stable nonlocal minimal surfaces. Zbl 1420.53014Cinti, Eleonora; Serra, Joaquim; Valdinoci, Enrico 21 2019 Local density of solutions to fractional equations. Zbl 07089131Carbotti, Alessandro; Dipierro, Serena; Valdinoci, Enrico 21 2019 Local approximation of arbitrary functions by solutions of nonlocal equations. Zbl 1461.35211Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico 20 2019 Decay estimates for evolutionary equations with fractional time-diffusion. Zbl 1461.35049Dipierro, Serena; Valdinoci, Enrico; Vespri, Vincenzo 14 2019 On stationary fractional mean field games. Zbl 1405.35246Cesaroni, 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 1411.49026Bucur, Claudia; Lombardini, Luca; Valdinoci, Enrico 11 2019 Definition of fractional Laplacian for functions with polynomial growth. Zbl 1428.35660Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico 11 2019 Decay estimates for evolution equations with classical and fractional time-derivatives. Zbl 1407.35025Affili, Elisa; Valdinoci, Enrico 9 2019 Overdetermined problems for the fractional Laplacian in exterior and annular sets. Zbl 1418.35171Soave, Nicola; Valdinoci, Enrico 9 2019 On the evolution by fractional mean curvature. Zbl 1411.35274Sáez, Mariel; Valdinoci, Enrico 8 2019 Wellposedness of a nonlinear peridynamic model. Zbl 1404.74102Coclite, Giuseppe Maria; Dipierro, Serena; Maddalena, Francesco; Valdinoci, Enrico 7 2019 Fattening and nonfattening phenomena for planar nonlocal curvature flows. Zbl 1426.53095Cesaroni, 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 1416.58012Dipierro, Serena; Pinamonti, Andrea; Valdinoci, Enrico 3 2019 Liouville type results for a nonlocal obstacle problem. Zbl 1475.45017Brasseur, 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 1427.53110Dipierro, Serena; Novaga, Matteo; Valdinoci, Enrico 2 2019 Limit behaviour of a singular perturbation problem for the biharmonic operator. Zbl 1429.31004Dipierro, Serena; Karakhanyan, Aram L.; Valdinoci, Enrico 2 2019 Gradient estimates for a class of anisotropic nonlocal operators. Zbl 1418.35360Farina, Alberto; Valdinoci, Enrico 1 2019 Flatness results for nonlocal minimal cones and subgraphs. Zbl 1445.49020Farina, Alberto; Valdinoci, Enrico 1 2019 Minimizers of the \(p\)-oscillation functional. Zbl 1435.35021Cesaroni, 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 1398.35266Dipierro, Serena; Farina, Alberto; Valdinoci, Enrico 14 2018 Nonlocal minimal surfaces: interior regularity, quantitative estimates and boundary stickiness. Zbl 1406.49048Dipierro, Serena; Valdinoci, Enrico 12 2018 A simple mathematical model inspired by the Purkinje cells: from delayed travelling waves to fractional diffusion. Zbl 1402.35284Dipierro, Serena; Valdinoci, Enrico 11 2018 Neckpinch singularities in fractional mean curvature flows. Zbl 1390.53068Cinti, Eleonora; Sinestrari, Carlo; Valdinoci, Enrico 10 2018 Optimizing the fractional power in a model with stochastic PDE constraints. Zbl 06992805Geldhauser, Carina; Valdinoci, Enrico 4 2018 Planelike minimizers of nonlocal Ginzburg-Landau energies and fractional perimeters in periodic media. Zbl 1393.35269Cozzi, Matteo; Valdinoci, Enrico 4 2018 Minimizers for nonlocal perimeters of Minkowski type. Zbl 1391.49077Cesaroni, Annalisa; Dipierro, Serena; Novaga, Matteo; Valdinoci, Enrico 3 2018 (non)local and (non)linear free boundary problems. Zbl 1386.35489Dipierro, Serena; Valdinoci, Enrico 2 2018 On stable solutions of boundary reaction-diffusion equations and applications to nonlocal problems with Neumann data. Zbl 1405.35051Dipierro, Serena; Soave, Nicola; Valdinoci, Enrico 2 2018 All functions are (locally) \(s\)-harmonic (up to a small error) – and applications. Zbl 1405.35253Valdinoci, Enrico 2 2018 A nonlocal concave-convex problem with nonlocal mixed boundary data. Zbl 1395.35190Abdellaoui, Boumediene; Dieb, Abdelrazek; Valdinoci, Enrico 1 2018 Density estimates for degenerate double-well potentials. Zbl 1404.35184Dipierro, Serena; Farina, Alberto; Valdinoci, Enrico 1 2018 Nonlocal problems with Neumann boundary conditions. Zbl 1371.35322Dipierro, Serena; Ros-Oton, Xavier; Valdinoci, Enrico 86 2017 Fractional elliptic problems with critical growth in the whole of \(\mathbb R^n\). Zbl 1375.49001Dipierro, Serena; Medina, María; Valdinoci, Enrico 66 2017 All functions are locally \(s\)-harmonic up to a small error. Zbl 1371.35323Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico 40 2017 On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results. Zbl 1388.35208Dipierro, Serena; Soave, Nicola; Valdinoci, Enrico 32 2017 Bifurcation results for a fractional elliptic equation with critical exponent in \(\mathbb {R}^n\). Zbl 1377.35262Dipierro, Serena; Medina, María; Peral, Ireneo; Valdinoci, Enrico 28 2017 Regularity and Bernstein-type results for nonlocal minimal surfaces. Zbl 1380.49060Figalli, Alessio; Valdinoci, Enrico 27 2017 Boundary behavior of nonlocal minimal surfaces. Zbl 1358.49038Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico 24 2017 A new type of identification problems: optimizing the fractional order in a nonlocal evolution equation. Zbl 1394.49033Sprekels, Jürgen; Valdinoci, Enrico 23 2017 Is a nonlocal diffusion strategy convenient for biological populations in competition? Zbl 1362.35312Massaccesi, Annalisa; Valdinoci, Enrico 20 2017 A logistic equation with nonlocal interactions. Zbl 1356.35261Caffarelli, Luis; Dipierro, Serena; Valdinoci, Enrico 14 2017 Pohozaev identities for anisotropic integrodifferential operators. Zbl 1381.35048Ros-Oton, Xavier; Serra, Joaquim; Valdinoci, Enrico 14 2017 A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane. Zbl 1358.45004Hamel, François; Ros-Oton, Xavier; Sire, Yannick; Valdinoci, Enrico 12 2017 Regularity and rigidity theorems for a class of anisotropic nonlocal operators. Zbl 06714544Farina, Alberto; Valdinoci, Enrico 12 2017 Chaotic orbits for systems of nonlocal equations. Zbl 1386.35416Dipierro, Serena; Patrizi, Stefania; Valdinoci, Enrico 9 2017 Planelike interfaces in long-range Ising models and connections with nonlocal minimal surfaces. Zbl 1376.82049Cozzi, Matteo; Dipierro, Serena; Valdinoci, Enrico 8 2017 Long-time behavior for crystal dislocation dynamics. Zbl 1377.82040Patrizi, Stefania; Valdinoci, Enrico 8 2017 Continuity and density results for a one-phase nonlocal free boundary problem. Zbl 1386.35490Dipierro, Serena; Valdinoci, Enrico 7 2017 Capillarity problems with nonlocal surface tension energies. Zbl 1386.76047Maggi, Francesco; Valdinoci, Enrico 7 2017 Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium. Zbl 1430.74050Cozzi, Matteo; Valdinoci, Enrico 6 2017 The effect on Fisher-KPP propagation in a cylinder with fast diffusion on the boundary. Zbl 1386.35211Rossi, Luca; Tellini, Andrea; Valdinoci, Enrico 6 2017 Nonlocal phase transitions in homogeneous and periodic media. Zbl 1366.35214Cozzi, Matteo; Dipierro, Serena; Valdinoci, Enrico 4 2017 A class of unstable free boundary problems. Zbl 1368.35279Dipierro, Serena; Karakhanyan, Aram; Valdinoci, Enrico 3 2017 Asymptotic expansions of the contact angle in nonlocal capillarity problems. Zbl 1386.76046Dipierro, Serena; Maggi, Francesco; Valdinoci, Enrico 3 2017 A nonlinear free boundary problem with a self-driven Bernoulli condition. Zbl 1386.35488Dipierro, Serena; Karakhanyan, Aram; Valdinoci, Enrico 2 2017 New trends in free boundary problems. Zbl 1364.35444Dipierro, Serena; Karakhanyan, Aram; Valdinoci, Enrico 2 2017 A rigidity result for non-local semilinear equations. Zbl 1386.35432Farina, Alberto; Valdinoci, Enrico 2 2017 Rigidity of critical points for a nonlocal Ohta-Kawasaki energy. Zbl 1366.49049Dipierro, Serena; Novaga, Matteo; Valdinoci, Enrico 1 2017 Nonlocal diffusion and applications. Zbl 1377.35002Bucur, Claudia; Valdinoci, Enrico 187 2016 The Dirichlet problem for nonlocal operators with singular kernels: convex and nonconvex domains. Zbl 1334.35397Ros-Oton, Xavier; Valdinoci, Enrico 17 2016 Graph properties for nonlocal minimal surfaces. Zbl 1354.49088Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico 17 2016 Nonlocal Delaunay surfaces. Zbl 1341.53006Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico 15 2016 Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs. Zbl 1357.35153Cozzi, Matteo; Farina, Alberto; Valdinoci, Enrico 13 2016 Relaxation times for atom dislocations in crystals. Zbl 1348.82084Patrizi, Stefania; Valdinoci, Enrico 7 2016 1D symmetry for semilinear PDEs from the limit interface of the solution. Zbl 1346.35064Farina, Alberto; Valdinoci, Enrico 6 2016 Nonlocal phase transitions: rigidity results and anisotropic geometry. Zbl 1440.35342Dipierro, S.; Serra, J.; Valdinoci, E. 5 2016 The Brezis-Nirenberg result for the fractional Laplacian. Zbl 1323.35202Servadei, Raffaella; Valdinoci, Enrico 271 2015 Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico 82 2015 Density properties for fractional Sobolev spaces. Zbl 1346.46025Fiscella, Alessio; Servadei, Raffaella; Valdinoci, Enrico 78 2015 Ground states and concentration phenomena for the fractional Schrödinger equation. Zbl 1320.35320Fall, Mouhamed Moustapha; Mahmoudi, Fethi; Valdinoci, Enrico 71 2015 Fractional Laplacian equations with critical Sobolev exponent. Zbl 1338.35481Servadei, Raffaella; Valdinoci, Enrico 47 2015 Dislocation dynamics in crystals: a macroscopic theory in a fractional Laplace setting. Zbl 1311.35313Dipierro, Serena; Palatucci, Giampiero; Valdinoci, Enrico 36 2015 A density property for fractional weighted Sobolev spaces. Zbl 1346.46024Dipierro, Serena; Valdinoci, Enrico 18 2015 Nonlocal quantitative isoperimetric inequalities. Zbl 1333.49061Di Castro, Agnese; Novaga, Matteo; Ruffini, Berardo; Valdinoci, Enrico 17 2015 Minimization of a fractional perimeter-Dirichlet integral functional. Zbl 1323.35216Caffarelli, Luis; Savin, Ovidiu; Valdinoci, Enrico 14 2015 ...and 110 more Documents all cited Publications top 5 cited Publications all top 5 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 ...and 2,490 more Authors all top 5 Cited in 309 Serials 167 Nonlinear Analysis. Theory, Methods & Applications. 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