## Franzina, Giovanni

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 Author ID: franzina.giovanni Published as: Franzina, Giovanni Homepage: http://www.analysis.math.fau.de/staff-members-and-visitors/franzina-giovanni/gio... External Links: MGP · ORCID
 Documents Indexed: 16 Publications since 2010 Reviewing Activity: 1 Review Co-Authors: 12 Co-Authors with 15 Joint Publications 384 Co-Co-Authors
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### Co-Authors

 1 single-authored 8 Brasco, Lorenzo 2 De Philippis, Guido 1 Dal Maso, Gianni 1 Francini, Elisa 1 Lamberti, Pier Domenico 1 Lindqvist, Peter 1 Palatucci, Giampiero 1 Pratelli, Aldo 1 Ruffini, Berardo 1 Valdinoci, Enrico 1 Vessella, Sergio 1 Zucco, Davide
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### Serials

 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Applicable Analysis 1 Archiv der Mathematik 1 Journal of Functional Analysis 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Rivista di Matematica della Università di Parma. New Series 1 Advances in Nonlinear Analysis
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### Fields

 15 Partial differential equations (35-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Operator theory (47-XX) 2 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX)

### Citations contained in zbMATH Open

16 Publications have been cited 254 times in 221 Documents Cited by Year
Fractional $$p$$-eigenvalues. Zbl 1327.35286
Franzina, Giovanni; Palatucci, Giampiero
2014
Convexity properties of Dirichlet integrals and Picone-type inequalities. Zbl 1315.47054
Brasco, Lorenzo; Franzina, Giovanni
2014
An eigenvalue problem with variable exponents. Zbl 1278.35169
Franzina, Giovanni; Lindqvist, Peter
2013
An anisotropic eigenvalue problem of Stekloff type and weighted Wulff inequalities. Zbl 1292.35192
Brasco, Lorenzo; Franzina, Giovanni
2013
Existence and uniqueness for a $$p$$-Laplacian nonlinear eigenvalue problem. Zbl 1188.35125
Franzina, Giovanni; Lamberti, Pier Domenico
2010
A note on positive eigenfunctions and hidden convexity. Zbl 1256.35042
Brasco, Lorenzo; Franzina, Giovanni
2012
On the Hong-Krahn-Szego inequality for the $$p$$-Laplace operator. Zbl 1317.35149
Brasco, Lorenzo; Franzina, Giovanni
2013
Existence of isoperimetric sets with densities “converging from below” on $${\mathbb {R}}^N$$. Zbl 1371.49037
De Philippis, Guido; Franzina, Giovanni; Pratelli, Aldo
2017
Geometric analysis of fractional phase transition interfaces. Zbl 1302.35402
Franzina, Giovanni; Valdinoci, Enrico
2013
Transmission conditions obtained by homogenisation. Zbl 1410.35026
Dal Maso, Gianni; Franzina, Giovanni; Zucco, Davide
2018
Schrödinger operators with negative potentials and Lane-Emden densities. Zbl 1388.35135
Brasco, Lorenzo; Franzina, Giovanni; Ruffini, Berardo
2018
Non-local torsion functions and embeddings. Zbl 1418.35283
Franzina, Giovanni
2019
A pathological example in nonlinear spectral theory. Zbl 1412.35209
Brasco, Lorenzo; Franzina, Giovanni
2019
Existence and regularity for eddy current system with nonsmooth conductivity. Zbl 1434.35213
Francini, Elisa; Franzina, Giovanni; Vessella, Sergio
2020
An overview on constrained critical points of Dirichlet integrals. Zbl 1458.35295
Brasco, Lorenzo; Franzina, Giovanni
2020
Positive solutions to the sublinear Lane-Emden equation are isolated. Zbl 1482.35150
Brasco, Lorenzo; De Philippis, Guido; Franzina, Giovanni
2021
Positive solutions to the sublinear Lane-Emden equation are isolated. Zbl 1482.35150
Brasco, Lorenzo; De Philippis, Guido; Franzina, Giovanni
2021
Existence and regularity for eddy current system with nonsmooth conductivity. Zbl 1434.35213
Francini, Elisa; Franzina, Giovanni; Vessella, Sergio
2020
An overview on constrained critical points of Dirichlet integrals. Zbl 1458.35295
Brasco, Lorenzo; Franzina, Giovanni
2020
Non-local torsion functions and embeddings. Zbl 1418.35283
Franzina, Giovanni
2019
A pathological example in nonlinear spectral theory. Zbl 1412.35209
Brasco, Lorenzo; Franzina, Giovanni
2019
Transmission conditions obtained by homogenisation. Zbl 1410.35026
Dal Maso, Gianni; Franzina, Giovanni; Zucco, Davide
2018
Schrödinger operators with negative potentials and Lane-Emden densities. Zbl 1388.35135
Brasco, Lorenzo; Franzina, Giovanni; Ruffini, Berardo
2018
Existence of isoperimetric sets with densities “converging from below” on $${\mathbb {R}}^N$$. Zbl 1371.49037
De Philippis, Guido; Franzina, Giovanni; Pratelli, Aldo
2017
Fractional $$p$$-eigenvalues. Zbl 1327.35286
Franzina, Giovanni; Palatucci, Giampiero
2014
Convexity properties of Dirichlet integrals and Picone-type inequalities. Zbl 1315.47054
Brasco, Lorenzo; Franzina, Giovanni
2014
An eigenvalue problem with variable exponents. Zbl 1278.35169
Franzina, Giovanni; Lindqvist, Peter
2013
An anisotropic eigenvalue problem of Stekloff type and weighted Wulff inequalities. Zbl 1292.35192
Brasco, Lorenzo; Franzina, Giovanni
2013
On the Hong-Krahn-Szego inequality for the $$p$$-Laplace operator. Zbl 1317.35149
Brasco, Lorenzo; Franzina, Giovanni
2013
Geometric analysis of fractional phase transition interfaces. Zbl 1302.35402
Franzina, Giovanni; Valdinoci, Enrico
2013
A note on positive eigenfunctions and hidden convexity. Zbl 1256.35042
Brasco, Lorenzo; Franzina, Giovanni
2012
Existence and uniqueness for a $$p$$-Laplacian nonlinear eigenvalue problem. Zbl 1188.35125
Franzina, Giovanni; Lamberti, Pier Domenico
2010
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### Cited by 291 Authors

 17 Brasco, Lorenzo 17 Squassina, Marco 10 Ambrosio, Vincenzo 8 Isernia, Teresa 7 Del Pezzo, Leandro M. 7 Giacomoni, Jacques 7 Rossi, Julio Daniel 6 Iannizzotto, Antonio 6 Mosconi, Sunra J. N. 6 Perera, Kanishka 5 Franzina, Giovanni 5 Palatucci, Giampiero 5 Pucci, Patrizia 5 Saoudi, Kamel 4 Gavitone, Nunzia 4 Mugnai, Dimitri 4 Salort, Ariel Martin 4 Sreenadh, Konijeti 3 Chen, Caisheng 3 Cinti, Eleonora 3 Della Pietra, Francesco 3 Ercole, Grey 3 Ferrara, Massimiliano 3 Ge, Bin 3 Kaufmann, Uriel 3 Kuusi, Tuomo 3 Mihăilescu, Mihai 3 Miyagaki, Olimpio Hiroshi 3 Molica Bisci, Giovanni 3 Pratelli, Aldo 3 Quaas, Alexander 3 Rădulescu, Vicenţiu D. 3 Ramos Quoirin, Humberto 3 Ruffini, Berardo 3 Suragan, Durvudkhan 3 Tang, Xianhua 3 Tiwari, Sweta 3 Xiang, Mingqi 3 Yang, Yang 3 Zhang, Binlin 2 Azroul, Elhoussine 2 Bal, Kaushik 2 Benkirane, Abdelmoujib 2 Bobkov, Vladimir E. 2 Bocea, Marian F. 2 Caliari, Marco 2 Chen, Wenjing 2 Choudhuri, Debajyoti 2 Cianchi, Andrea 2 Colasuonno, Francesca 2 Cozzi, Matteo 2 Cui, Ying-Xin 2 da Silva, João Vítor 2 Daoues, Adel 2 De Philippis, Guido 2 Degiovanni, Marco 2 Erhardt, André 2 Fernández Bonder, Julián 2 Ferone, Vincenzo 2 Fiscella, Alessio 2 Gouasmia, Abdelhamid 2 Hammami, Amani 2 Hara, Takanobu 2 Henrot, Antoine 2 Ho, Ky 2 Hurtado, Elard Juárez 2 Korvenpää, Janne 2 Lindgren, Erik 2 Lombardini, Luca 2 Marzocchi, Marco 2 Mokrane, Abdelhafid 2 Montoro, Luigi 2 Mukherjee, Tuhina 2 Nitsch, Carlo 2 Paoli, Gloria 2 Parini, Enea 2 Pei, Ruichang 2 Peral Alonso, Ireneo 2 Pisante, Giovanni 2 Proietti Lippi, Edoardo 2 Ruzhansky, Michael V. 2 Saracco, Giorgio 2 Seesanea, Adisak 2 Servadei, Raffaella 2 Sim, Inbo 2 Soria, Fernando 2 Spedaletti, Juan F. 2 Srati, Mohammed 2 Sun, Liangliang 2 Tanaka, Mieko 2 Trani, Leonardo 2 Trombetti, Cristina 2 Tyagi, Jagmohan 2 Umezu, Kenichiro 2 Vazquez, Juan Luis 2 Verbitsky, Igor E. 2 Warnault, Guillaume 2 Yang, Zuodong 2 Yu, Lujuan 2 Zhang, Jihui ...and 191 more Authors
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### Cited in 88 Serials

 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Discrete and Continuous Dynamical Systems 10 Calculus of Variations and Partial Differential Equations 9 Journal of Mathematical Analysis and Applications 9 Journal of Functional Analysis 7 Journal of Differential Equations 7 NoDEA. Nonlinear Differential Equations and Applications 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Mediterranean Journal of Mathematics 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Advanced Nonlinear Studies 5 Communications on Pure and Applied Analysis 4 Applicable Analysis 4 Journal of Mathematical Physics 4 Manuscripta Mathematica 4 Mathematische Annalen 4 The Journal of Geometric Analysis 4 Advances in Nonlinear Analysis 3 Potential Analysis 3 Electronic Journal of Differential Equations (EJDE) 3 Bulletin des Sciences Mathématiques 3 Communications in Contemporary Mathematics 3 Journal of Fixed Point Theory and Applications 3 Advances in Calculus of Variations 2 Rocky Mountain Journal of Mathematics 2 Archiv der Mathematik 2 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Mathematics Letters 2 Forum Mathematicum 2 SIAM Journal on Mathematical Analysis 2 Topological Methods in Nonlinear Analysis 2 Journal of Inequalities and Applications 2 Fractional Calculus & Applied Analysis 2 Nonlinear Analysis. Real World Applications 2 Milan Journal of Mathematics 2 Boundary Value Problems 2 Complex Variables and Elliptic Equations 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Elliptic and Parabolic Equations 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Nonlinearity 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Integral Equations and Operator Theory 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Scientific Computing 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Opuscula Mathematica 1 Advances in Differential Equations 1 Engineering Analysis with Boundary Elements 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Positivity 1 Revista Matemática Complutense 1 Interfaces and Free Boundaries 1 Journal of Dynamical and Control Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Analysis and Applications (Singapore) 1 Complex Analysis and Operator Theory 1 Differential Equations and Applications 1 Bulletin of Mathematical Sciences 1 Afrika Matematika 1 Journal of Applied Analysis and Computation 1 Mathematics 1 Journal of Function Spaces 1 Open Mathematics 1 Advances in Operator Theory 1 Bollettino dell’Unione Matematica Italiana 1 Electronic Research Archive 1 SN Partial Differential Equations and Applications
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### Cited in 25 Fields

 204 Partial differential equations (35-XX) 46 Operator theory (47-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 23 Global analysis, analysis on manifolds (58-XX) 22 Functional analysis (46-XX) 13 Integral equations (45-XX) 10 Real functions (26-XX) 7 Numerical analysis (65-XX) 5 Differential geometry (53-XX) 3 Potential theory (31-XX) 3 Ordinary differential equations (34-XX) 3 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of deformable solids (74-XX) 2 Measure and integration (28-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)