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Author ID: modica.luciano Recent zbMATH articles by "Modica, Luciano"
Published as: Modica, Luciano; Modica, L.

Publications by Year

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 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