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Aviles, Patricio

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 Author ID: aviles.patricio Published as: Aviles, Patricio; Avilés, Patricio
 Documents Indexed: 25 Publications since 1977
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Co-Authors

 8 single-authored 8 Giga, Yoshikazu 3 McOwen, Robert C. 1 Choi, Hyeong In 1 Escobar, José Fernando 1 Komuro, Naoto 1 Manfredi, Juan J. 1 Micallef, Mario J. 1 Mujica, Jorge 1 Sandefur, James T. jun. 1 Weitsman, Allen
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Serials

 3 Duke Mathematical Journal 2 Archive for Rational Mechanics and Analysis 2 Indiana University Mathematics Journal 2 Journal of Differential Geometry 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Communications in Mathematical Physics 1 American Journal of Mathematics 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Proceedings of the Japan Academy. Series A 1 Communications in Partial Differential Equations 1 Advances in Mathematical Sciences and Applications 1 Rendiconti di Matematica, VI. Serie
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Fields

 10 Partial differential equations (35-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Differential geometry (53-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Quantum theory (81-XX)

Citations contained in zbMATH Open

23 Publications have been cited 337 times in 286 Documents Cited by Year
Local behavior of solutions of some elliptic equations. Zbl 0617.35040
Aviles, Patricio
1987
Conformal deformation to constant negative scalar curvature on noncompact Riemannian manifolds. Zbl 0648.53021
Aviles, Patricio; McOwen, Robert C.
1988
On lower semicontinuity of a defect energy obtained by a singular limit of the Ginzburg-Landau type energy for gradient fields. Zbl 0923.49008
Aviles, Patricio; Giga, Yoshikazu
1999
On isolated singularities in some nonlinear partial differential equations. Zbl 0548.35042
Aviles, Patricio
1983
Symmetry theorems related to Pompeiu’s problem. Zbl 0644.35075
Aviles, Patricio
1986
Nonlinear second order equations with applications to partial differential equations. Zbl 0572.34004
Aviles, Patricio; Sandefur, James
1985
Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds. Zbl 0645.53023
Aviles, Patricio; McOwen, Robert C.
1988
Conformal deformations of complete manifolds with negative curvature. Zbl 0588.53028
Aviles, Patricio; McOwen, Robert
1985
Boundary behavior of harmonic maps on non-smooth domains and complete negatively curved manifolds. Zbl 0805.53037
Avilés, Patricio; Choi, H.; Micallef, Mario
1991
Variational integrals on mappings of bounded variation and their lower semicontinuity. Zbl 0737.49011
Aviles, Patricio; Giga, Yoshikazu
1991
Conformal complete metrics with prescribed non-negative Gaussian curvature in $${\mathbb{R}}^ 2$$. Zbl 0592.53034
Aviles, Patricio
1986
A study of the singularities of solutions of a class of nonlinear elliptic partial differential equations. Zbl 0495.35036
Aviles, Patricio
1982
The distance function and defect energy. Zbl 0878.49017
Aviles, Patricio; Giga, Yoshikazu
1996
Singularities and rank one properties of Hessian measures. Zbl 0711.49062
Aviles, Patricio; Giga, Yoshikazu
1989
On null sets of $$P$$-harmonic measures. Zbl 0785.31007
Avilés, Patricio; Manfredi, Juan J.
1992
Minimal currents, geodesics, and relaxation of variational integrals on mappings of bounded variation. Zbl 0769.49010
Aviles, Patricio; Giga, Yoshikazu
1992
Phragmen-Lindelöf and nonexistence theorems for nonlinear elliptic equations. Zbl 0517.35035
Aviles, Patricio
1983
Minimal currents and relaxation of variational integrals on mappings of bounded variation. Zbl 0706.49003
Aviles, Patricio; Giga, Yoshikazu
1990
Phragmén-Lindelöf theorems for nonlinear elliptic equations. Zbl 0645.35031
Aviles, Patricio
1987
Holomorphic germs and homogeneous polynomials on quasi-normable metrizable spaces. Zbl 0444.46038
Aviles, Patricio; Mujica, Jorge
1977
Duality formulas and variational integrals. Zbl 0789.46038
Aviles, Patricio; Giga, Yoshikazu; Komuro, Naoto
1992
Variational integrals on mappings of bounded variation. Zbl 0925.49001
Aviles, Patricio; Giga, Yoshikazu
1991
On the singularities of certain nonlinear partial differential equations. Zbl 0465.35035
Aviles, Patricio; Weitsman, Allen
1982
On lower semicontinuity of a defect energy obtained by a singular limit of the Ginzburg-Landau type energy for gradient fields. Zbl 0923.49008
Aviles, Patricio; Giga, Yoshikazu
1999
The distance function and defect energy. Zbl 0878.49017
Aviles, Patricio; Giga, Yoshikazu
1996
On null sets of $$P$$-harmonic measures. Zbl 0785.31007
Avilés, Patricio; Manfredi, Juan J.
1992
Minimal currents, geodesics, and relaxation of variational integrals on mappings of bounded variation. Zbl 0769.49010
Aviles, Patricio; Giga, Yoshikazu
1992
Duality formulas and variational integrals. Zbl 0789.46038
Aviles, Patricio; Giga, Yoshikazu; Komuro, Naoto
1992
Boundary behavior of harmonic maps on non-smooth domains and complete negatively curved manifolds. Zbl 0805.53037
Avilés, Patricio; Choi, H.; Micallef, Mario
1991
Variational integrals on mappings of bounded variation and their lower semicontinuity. Zbl 0737.49011
Aviles, Patricio; Giga, Yoshikazu
1991
Variational integrals on mappings of bounded variation. Zbl 0925.49001
Aviles, Patricio; Giga, Yoshikazu
1991
Minimal currents and relaxation of variational integrals on mappings of bounded variation. Zbl 0706.49003
Aviles, Patricio; Giga, Yoshikazu
1990
Singularities and rank one properties of Hessian measures. Zbl 0711.49062
Aviles, Patricio; Giga, Yoshikazu
1989
Conformal deformation to constant negative scalar curvature on noncompact Riemannian manifolds. Zbl 0648.53021
Aviles, Patricio; McOwen, Robert C.
1988
Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds. Zbl 0645.53023
Aviles, Patricio; McOwen, Robert C.
1988
Local behavior of solutions of some elliptic equations. Zbl 0617.35040
Aviles, Patricio
1987
Phragmén-Lindelöf theorems for nonlinear elliptic equations. Zbl 0645.35031
Aviles, Patricio
1987
Symmetry theorems related to Pompeiu’s problem. Zbl 0644.35075
Aviles, Patricio
1986
Conformal complete metrics with prescribed non-negative Gaussian curvature in $${\mathbb{R}}^ 2$$. Zbl 0592.53034
Aviles, Patricio
1986
Nonlinear second order equations with applications to partial differential equations. Zbl 0572.34004
Aviles, Patricio; Sandefur, James
1985
Conformal deformations of complete manifolds with negative curvature. Zbl 0588.53028
Aviles, Patricio; McOwen, Robert
1985
On isolated singularities in some nonlinear partial differential equations. Zbl 0548.35042
Aviles, Patricio
1983
Phragmen-Lindelöf and nonexistence theorems for nonlinear elliptic equations. Zbl 0517.35035
Aviles, Patricio
1983
A study of the singularities of solutions of a class of nonlinear elliptic partial differential equations. Zbl 0495.35036
Aviles, Patricio
1982
On the singularities of certain nonlinear partial differential equations. Zbl 0465.35035
Aviles, Patricio; Weitsman, Allen
1982
Holomorphic germs and homogeneous polynomials on quasi-normable metrizable spaces. Zbl 0444.46038
Aviles, Patricio; Mujica, Jorge
1977
all top 5

Cited by 347 Authors

 10 Bidaut-Veron, Marie-Françoise 10 Véron, Laurent 8 Aviles, Patricio 8 Ignat, Radu 7 Poliakovsky, Arkady 6 Rigoli, Marco 5 Chen, Huyuan 5 Giga, Yoshikazu 5 Yang, Hui 5 Zhou, Feng 4 Conti, Sergio 4 McOwen, Robert C. 4 Müller, Stefan 4 Tam, Luen-Fai 4 Zou, Wenming 3 Bao, Jiguang 3 Chang, Sun-Yung Alice 3 De Lellis, Camillo 3 Finn, David L. 3 Fonseca, Irene 3 Giaquinta, Mariano 3 Grillot, Philippe 3 Gursky, Matthew J. 3 Han, Zheng-Chao 3 Kalka, Morris 3 Kozhanov, Aleksandr Ivanovich 3 Lee, Yong Hah 3 Leung, Man Chun 3 Li, Yimei 3 Liu, Genqian 3 Lorent, Andrew 3 Ma, Li 3 Ni, Wei-Ming 3 Pacard, Frank 3 Pan, Xingbin 3 Rivière, Tristan 3 Sternberg, Peter J. 3 Yang, Paul C. P. 2 Alías, Luis J. 2 Ambrosio, Luigi 2 Avrin, Joel D. 2 Bhattacharya, Tilak 2 Bianchini, Bruno 2 Biler, Piotr 2 Bland, John S. 2 Bochard, Pierre 2 Brandolini, Luca 2 Cánovas, Verónica L. 2 Chanillo, Sagun 2 Cheng, Kuo-Shung 2 Chruściel, Piotr Tadeusz 2 Du, Yihong 2 García-Huidobro, Marta 2 Gesztesy, Fritz 2 Gladwell, Graham M. L. 2 Golovaty, Dmitry 2 González, María del Mar 2 Guo, Zongming 2 Henrot, Antoine 2 Hirata, Kentaro 2 Jabin, Pierre-Emmanuel 2 Johnson, Russell Allan 2 Jung, Yoon-Tae 2 Kalantarov, Varga K. 2 Kato, Shin 2 Kiessling, Michael Karl-Heinz 2 Kim, Seongtag 2 Li, Peter 2 Li, YanYan 2 Li, Yi 2 Ma, Xiaoyun 2 Mari, Luciano 2 Mazzeo, Rafe R. 2 Merlet, Benoît 2 Mitrea, Marius 2 Mucci, Domenico 2 Neubrander, Frank 2 Noussair, Ezzat S. 2 Peng, Guanying 2 Perthame, Benoît 2 Philippin, Gérard A. 2 Rindler, Filip 2 Serfaty, Sylvia 2 Setti, Alberto G. 2 Shaw, Giles 2 Shibata, Yoshihiro 2 Streets, Jeffrey D. 2 Swanson, Charles A. 2 Takahashi, Jin 2 Taliaferro, Steven D. 2 Tang, Junjie 2 Venkatraman, Raghavendra 2 Warren, Micah W. 2 Wei, Guodong 2 Wei, Juncheng 2 Willms, N. B. 2 Yang, DaGang 2 Yang, Yisong 2 Yarur, Cecilia S. 2 Yi, Yingfei ...and 247 more Authors
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Cited in 93 Serials

 23 Journal of Differential Equations 15 Archive for Rational Mechanics and Analysis 11 Duke Mathematical Journal 11 Proceedings of the American Mathematical Society 11 Communications in Partial Differential Equations 11 Calculus of Variations and Partial Differential Equations 10 Journal of Mathematical Analysis and Applications 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Nonlinear Analysis. Theory, Methods & Applications 8 Transactions of the American Mathematical Society 8 The Journal of Geometric Analysis 7 Communications in Mathematical Physics 7 Journal of Functional Analysis 6 Journal d’Analyse Mathématique 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Communications on Pure and Applied Mathematics 5 Mathematische Annalen 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Advances in Mathematics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Inventiones Mathematicae 3 Communications in Contemporary Mathematics 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 Israel Journal of Mathematics 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Annales de l’Institut Fourier 2 Journal of Computational and Applied Mathematics 2 Manuscripta Mathematica 2 Memoirs of the American Mathematical Society 2 Nagoya Mathematical Journal 2 Semigroup Forum 2 Siberian Mathematical Journal 2 Tohoku Mathematical Journal. Second Series 2 Annals of Global Analysis and Geometry 2 SIAM Journal on Mathematical Analysis 2 Journal of Nonlinear Science 2 Discrete and Continuous Dynamical Systems 2 Journal of the European Mathematical Society (JEMS) 2 Annales Henri Poincaré 2 Communications on Pure and Applied Analysis 1 Bulletin of the Australian Mathematical Society 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Journal of Geometry and Physics 1 Applied Mathematics and Optimization 1 Bulletin de la Société Mathématique de France 1 Czechoslovak Mathematical Journal 1 Kodai Mathematical Journal 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Acta Applicandae Mathematicae 1 Physica D 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Acta Mathematica Sinica. New Series 1 Chinese Science Bulletin 1 Potential Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Electronic Research Announcements of the American Mathematical Society 1 Journal of High Energy Physics 1 Journal of Nonlinear Mathematical Physics 1 Advanced Nonlinear Studies 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Hyperbolic Differential Equations 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Analysis & PDE 1 Science China. Mathematics 1 Communications in Mathematics and Statistics 1 Nonautonomous Dynamical Systems 1 Korean Journal of Mathematics
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Cited in 35 Fields

 190 Partial differential equations (35-XX) 74 Differential geometry (53-XX) 57 Global analysis, analysis on manifolds (58-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 17 Ordinary differential equations (34-XX) 11 Mechanics of deformable solids (74-XX) 10 Potential theory (31-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Functional analysis (46-XX) 7 Operator theory (47-XX) 7 Relativity and gravitational theory (83-XX) 6 Fluid mechanics (76-XX) 6 Quantum theory (81-XX) 5 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Integral equations (45-XX) 3 Numerical analysis (65-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)