Edit Profile (opens in new tab) Modica, Luciano Co-Author Distance Author ID: modica.luciano Published as: Modica, Luciano; Modica, L. Documents Indexed: 27 Publications since 1974, including 1 Book 2 Contributions as Editor Co-Authors: 10 Co-Authors with 19 Joint Publications 298 Co-Co-Authors all top 5 Co-Authors 10 single-authored 9 Dal Maso, Gianni 6 Mortola, Stefano 2 De Giorgi, Ennio 2 Marino, Antonio 2 Spagnolo, Sergio 1 Baldo, Sisto 1 Colombini, Ferruccio 1 Degiovanni, Marco 1 Luckhaus, Stephan 1 Salsa, Sandro all top 5 Serials 2 Archive for Rational Mechanics and Analysis 2 Bollettino della Unione Matematica Italiana. Series V. A 2 Bollettino della Unione Matematica Italiana. Series V. B 1 Communications on Pure and Applied Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Communications in Partial Differential Equations 1 Bollettino della Unione Matemàtica Italiana. Serie VI. A 1 Bollettino della Unione Matematica Italiana. Series IV 1 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Research Notes in Mathematics (San Francisco) 1 Progress in Nonlinear Differential Equations and Their Applications all top 5 Fields 19 Calculus of variations and optimal control; optimization (49-XX) 9 Partial differential equations (35-XX) 5 Probability theory and stochastic processes (60-XX) 4 Measure and integration (28-XX) 3 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 3 General topology (54-XX) 2 Potential theory (31-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 1,194 times in 825 Documents Cited by ▼ Year ▼ The gradient theory of phase transitions and the minimal interface criterion. Zbl 0616.76004 Modica, Luciano 419 1987 Un esempio di \(\Gamma^-\)-convergenza. Zbl 0356.49008 Modica, Luciano; Mortola, Stefano 267 1977 Nonlinear stochastic homogenization and ergodic theory. Zbl 0582.60034 Dal Maso, Gianni; Modica, Luciano 94 1986 A gradient bound and a Liouville theorem for nonlinear Poisson equations. Zbl 0612.35051 Modica, Luciano 70 1985 Nonlinear stochastic homogenization. Zbl 0607.49010 Dal Maso, Gianni; Modica, Luciano 67 1986 Il limite nella \(\Gamma\)-convergenza di una famiglia di funzionali ellittici. Zbl 0364.49006 Modica, Luciano; Mortola, Stefano 58 1977 The Gibbs-Thompson relation within the gradient theory of phase transitions. Zbl 0681.49012 Luckhaus, Stephan; Modica, Luciano 57 1989 Gradient theory of phase transitions with boundary contact energy. Zbl 0642.49009 Modica, Luciano 41 1987 Construction of a singular elliptic-harmonic measure. Zbl 0505.35039 Modica, Luciano; Mortola, Stefano 26 1980 A general theory of variational functionals. Zbl 0493.49005 Dal Maso, Gianni; Modica, Luciano 23 1981 \(\Gamma\)-convergence to minimal surfaces problem and global solutions of \(\Delta u=2(u^3-u)\). Zbl 0408.49041 Modica, Luciano 17 1979 Integral functionals determined by their minima. Zbl 0613.49028 Dal Maso, Gianni; Modica, Luciano 13 1986 Monotonicity of the energy for entire solutions of semilinear elliptic equations. Zbl 0699.35082 Modica, Luciano 11 1989 Some entire solutions in the plane of nonlinear Poisson equations. Zbl 0448.35044 Modica, Luciano; Mortola, Stefano 9 1980 Partial differential equations and the calculus of variations. Essays in honor of Ennio De Giorgi. Volume I and II. Zbl 0671.00007 Colombini, Ferruccio; Marino, A.; Modica, L.; Spagnolo, Sergio 9 1989 A nonvariational second order elliptic operator with singular elliptic measure. Zbl 0487.35032 Modica, Luciano; Mortola, Stefano; Salsa, Sandro 5 1982 Singular measures and Riesz products. Zbl 0449.28004 Modica, Luciano; Mortola, Stefano 2 1982 Weak convergence of measures in spaces of lower semicontinuous functions. Zbl 0638.46019 Dal Maso, Gianni; De Giorgi, Ennio; Modica, Luciano 2 1985 A Runge theorem for overdetermined systems with constant coefficients. Zbl 0436.35062 Modica, Luciano 1 1980 Nonlinear variational problems. (International Workshop on Nonlinear Variational Problems held at Isola d’Elba, Italy, September 1983). Zbl 0561.00014 1 1985 Non uniqueness of minimal graphs. Zbl 0748.49032 Baldo, Sisto; Modica, Luciano 1 1991 Sulla convergenza dei minimi locali. Zbl 0485.49010 Dal Maso, Gianni; Modica, Luciano 1 1982 Non uniqueness of minimal graphs. Zbl 0748.49032 Baldo, Sisto; Modica, Luciano 1 1991 The Gibbs-Thompson relation within the gradient theory of phase transitions. Zbl 0681.49012 Luckhaus, Stephan; Modica, Luciano 57 1989 Monotonicity of the energy for entire solutions of semilinear elliptic equations. Zbl 0699.35082 Modica, Luciano 11 1989 Partial differential equations and the calculus of variations. Essays in honor of Ennio De Giorgi. Volume I and II. Zbl 0671.00007 Colombini, Ferruccio; Marino, A.; Modica, L.; Spagnolo, Sergio 9 1989 The gradient theory of phase transitions and the minimal interface criterion. Zbl 0616.76004 Modica, Luciano 419 1987 Gradient theory of phase transitions with boundary contact energy. Zbl 0642.49009 Modica, Luciano 41 1987 Nonlinear stochastic homogenization and ergodic theory. Zbl 0582.60034 Dal Maso, Gianni; Modica, Luciano 94 1986 Nonlinear stochastic homogenization. Zbl 0607.49010 Dal Maso, Gianni; Modica, Luciano 67 1986 Integral functionals determined by their minima. Zbl 0613.49028 Dal Maso, Gianni; Modica, Luciano 13 1986 A gradient bound and a Liouville theorem for nonlinear Poisson equations. Zbl 0612.35051 Modica, Luciano 70 1985 Weak convergence of measures in spaces of lower semicontinuous functions. Zbl 0638.46019 Dal Maso, Gianni; De Giorgi, Ennio; Modica, Luciano 2 1985 Nonlinear variational problems. (International Workshop on Nonlinear Variational Problems held at Isola d’Elba, Italy, September 1983). Zbl 0561.00014 1 1985 A nonvariational second order elliptic operator with singular elliptic measure. Zbl 0487.35032 Modica, Luciano; Mortola, Stefano; Salsa, Sandro 5 1982 Singular measures and Riesz products. Zbl 0449.28004 Modica, Luciano; Mortola, Stefano 2 1982 Sulla convergenza dei minimi locali. Zbl 0485.49010 Dal Maso, Gianni; Modica, Luciano 1 1982 A general theory of variational functionals. Zbl 0493.49005 Dal Maso, Gianni; Modica, Luciano 23 1981 Construction of a singular elliptic-harmonic measure. Zbl 0505.35039 Modica, Luciano; Mortola, Stefano 26 1980 Some entire solutions in the plane of nonlinear Poisson equations. Zbl 0448.35044 Modica, Luciano; Mortola, Stefano 9 1980 A Runge theorem for overdetermined systems with constant coefficients. Zbl 0436.35062 Modica, Luciano 1 1980 \(\Gamma\)-convergence to minimal surfaces problem and global solutions of \(\Delta u=2(u^3-u)\). Zbl 0408.49041 Modica, Luciano 17 1979 Un esempio di \(\Gamma^-\)-convergenza. Zbl 0356.49008 Modica, Luciano; Mortola, Stefano 267 1977 Il limite nella \(\Gamma\)-convergenza di una famiglia di funzionali ellittici. Zbl 0364.49006 Modica, Luciano; Mortola, Stefano 58 1977 all cited Publications top 5 cited Publications all top 5 Cited by 981 Authors 22 Valdinoci, Enrico 18 Wei, Juncheng 17 Fonseca, Irene 15 Garcke, Harald 14 Dal Maso, Gianni 11 Bellettini, Giovanni 11 Farina, Alberto 11 Zeppieri, Caterina Ida 10 Bretin, Elie 10 Cicalese, Marco 9 Ambrosio, Luigi 9 Del Pino, Manuel A. 8 Alikakos, Nicholas D. 8 Braides, Andrea 8 Dipierro, Serena 8 Elliott, Charles M. 8 Gloria, Antoine 8 Kowalczyk, Michał 8 Masnou, Simon 8 Mayboroda, Svitlana 8 Muratov, Cyrill B. 8 Novaga, Matteo 8 Röger, Matthias 8 Ruf, Matthias 8 Sternberg, Peter J. 8 Tonegawa, Yoshihiro 7 Armstrong, Scott N. 7 Caffarelli, Luis Ángel 7 Feneuil, Joseph 7 Ren, Xiaofeng 7 Sire, Yannick 7 Souganidis, Panagiotis E. 7 Yang, Jun 6 Bates, Peter W. 6 Chen, Chaonien 6 Cristoferi, Riccardo 6 Gui, Changfeng 6 Kim, Inwon Christina 6 Lam, Kei Fong 6 Mandallena, Jean-Philippe 6 Michaille, Gérard 6 Modica, Luciano 6 Müller, Stefan 6 Otto, Felix 6 Oudet, Edouard 6 Poliakovsky, Arkady 6 Savin, Ovidiu V. 6 Van Gennip, Yves 6 Wang, Kelei 5 Abels, Helmut 5 Alicandro, Roberto 5 Anza Hafsa, Omar 5 Bach, Annika 5 Chen, Xinfu 5 Choi, Yung-Sze 5 Conti, Sergio 5 Cozzi, Matteo 5 Dario, Paul 5 De Arcangelis, Riccardo 5 Dondl, Patrick Werner 5 Fazly, Mostafa 5 Folino, Raffaele 5 Hecht, Claudia 5 Hofmann, Steve 5 Kohn, Robert Vita 5 Laux, Tim 5 Leoni, Giovanni 5 Lin, Fang Hua 5 Mourrat, Jean-Christophe 5 Neukamm, Stefan 5 Orlandi, Giandomenico 5 Paolini, Maurizio 5 Rizzi, Matteo 5 Rumpf, Martin 5 Schatzle, Reiner 5 Schweizer, Ben 5 Serfaty, Sylvia 5 Shafrir, Itai 5 Stefanelli, Ulisse 5 Toro, Tatiana 5 Venkatraman, Raghavendra 5 Wei, Suting 4 Acerbi, Emilio 4 Alberti, Giovanni 4 André, Nelly 4 Baldo, Sisto 4 Cabré, Xavier 4 Carbone, Luciano 4 Focardi, Matteo 4 Friedrich, Manuel 4 Fusco, Giorgio 4 Gaspar, Pedro 4 Giga, Yoshikazu 4 Goldman, Michael 4 Golovaty, Dmitry 4 Hintermüller, Michael 4 Le, Nam Q. 4 Lemenant, Antoine 4 Mellet, Antoine 4 Merlet, Benoît ...and 881 more Authors all top 5 Cited in 177 Serials 71 Archive for Rational Mechanics and Analysis 62 Calculus of Variations and Partial Differential Equations 32 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 26 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 21 SIAM Journal on Mathematical Analysis 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Annali di Matematica Pura ed Applicata. Serie Quarta 18 Journal of Differential Equations 17 Journal of Functional Analysis 17 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 16 Journal of Computational Physics 16 Communications in Partial Differential Equations 11 Journal of Mathematical Analysis and Applications 11 Journal of Nonlinear Science 10 Communications on Pure and Applied Mathematics 10 Proceedings of the American Mathematical Society 10 Transactions of the American Mathematical Society 10 The Journal of Geometric Analysis 10 Discrete and Continuous Dynamical Systems 9 Communications in Mathematical Physics 9 European Journal of Applied Mathematics 9 SIAM Journal on Applied Mathematics 8 Journal of the Mechanics and Physics of Solids 8 Applied Mathematics and Optimization 8 Advances in Calculus of Variations 7 Computer Methods in Applied Mechanics and Engineering 7 Journal d’Analyse Mathématique 7 Physica D 7 Asymptotic Analysis 7 Interfaces and Free Boundaries 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Advances in Mathematics 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 NoDEA. Nonlinear Differential Equations and Applications 6 Communications on Pure and Applied Analysis 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Inventiones Mathematicae 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Journal of Elasticity 5 Networks and Heterogeneous Media 5 Nonlinear Analysis. Theory, Methods & Applications 4 Inverse Problems 4 Journal of Statistical Physics 4 Mathematical Methods in the Applied Sciences 4 Nonlinearity 4 Indiana University Mathematics Journal 4 Mathematische Annalen 4 SIAM Journal on Control and Optimization 4 Geometric and Functional Analysis. GAFA 4 Journal of Mathematical Imaging and Vision 4 Journal of the European Mathematical Society (JEMS) 4 Milan Journal of Mathematics 4 Multiscale Modeling & Simulation 4 Oberwolfach Reports 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Inverse Problems and Imaging 4 Discrete and Continuous Dynamical Systems. Series S 3 Applicable Analysis 3 Journal of Mathematical Physics 3 Rocky Mountain Journal of Mathematics 3 Mathematics of Computation 3 The Annals of Probability 3 Journal für die Reine und Angewandte Mathematik 3 Manuscripta Mathematica 3 Mathematische Zeitschrift 3 Rendiconti del Seminario Matematico della Università di Padova 3 Tôhoku Mathematical Journal. Second Series 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 SIAM Journal on Scientific Computing 3 Communications in Nonlinear Science and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 3 Communications in Computational Physics 3 SIAM Journal on Imaging Sciences 3 Advances in Nonlinear Analysis 3 Journal de l’École Polytechnique – Mathématiques 2 Israel Journal of Mathematics 2 Theoretical and Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Computation 2 Bulletin of the London Mathematical Society 2 Duke Mathematical Journal 2 International Journal for Numerical Methods in Engineering 2 Journal of Computational and Applied Mathematics 2 Quarterly of Applied Mathematics 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Revista Matemática Iberoamericana 2 Journal of Scientific Computing 2 Journal of Dynamics and Differential Equations 2 Continuum Mechanics and Thermodynamics 2 Potential Analysis 2 Set-Valued Analysis 2 Journal of Mathematical Sciences (New York) 2 Advances in Computational Mathematics 2 Electronic Journal of Probability 2 Vietnam Journal of Mathematics 2 Acta Mathematica Sinica. English Series 2 Advanced Nonlinear Studies 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Mediterranean Journal of Mathematics ...and 77 more Serials all top 5 Cited in 45 Fields 506 Partial differential equations (35-XX) 340 Calculus of variations and optimal control; optimization (49-XX) 140 Mechanics of deformable solids (74-XX) 98 Statistical mechanics, structure of matter (82-XX) 86 Numerical analysis (65-XX) 71 Fluid mechanics (76-XX) 60 Differential geometry (53-XX) 49 Global analysis, analysis on manifolds (58-XX) 49 Probability theory and stochastic processes (60-XX) 28 Information and communication theory, circuits (94-XX) 26 Classical thermodynamics, heat transfer (80-XX) 25 Measure and integration (28-XX) 25 Computer science (68-XX) 24 Biology and other natural sciences (92-XX) 20 Dynamical systems and ergodic theory (37-XX) 20 Operator theory (47-XX) 19 Functional analysis (46-XX) 18 Real functions (26-XX) 14 Potential theory (31-XX) 13 Ordinary differential equations (34-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Optics, electromagnetic theory (78-XX) 10 Quantum theory (81-XX) 9 Operations research, mathematical programming (90-XX) 7 Systems theory; control (93-XX) 6 Integral equations (45-XX) 5 General and overarching topics; collections (00-XX) 5 Statistics (62-XX) 4 Functions of a complex variable (30-XX) 4 Approximations and expansions (41-XX) 4 Geometry (51-XX) 4 Convex and discrete geometry (52-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Geophysics (86-XX) Citations by Year