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## Gariepy, Ronald F.

Compute Distance To:
 Author ID: gariepy.ronald-f Published as: Gariepy, R. F.; Gariepy, Ronald; Gariepy, Ronald F.
 Documents Indexed: 27 Publications since 1972, including 2 Books
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#### Co-Authors

 5 single-authored 10 Evans, Lawrence Craig 5 Ziemer, William Paul 2 Bénilan, Philippe 2 Lewis, John L. 1 Crandall, Michael G. 1 DiBenedetto, Emmanuele 1 Feldman, Mikhail 1 Pepe, W. D. 1 Shillor, Meir 1 Wang, Changyou 1 Xu, Xiangsheng 1 Yu, Yifeng
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#### Serials

 4 Archive for Rational Mechanics and Analysis 3 Journal of Differential Equations 2 Arkiv för Matematik 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Calculus of Variations and Partial Differential Equations 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Transactions of the American Mathematical Society 1 European Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 Journal of Evolution Equations 1 Bulletin of the American Mathematical Society 1 Textbooks in Mathematics
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#### Fields

 15 Partial differential equations (35-XX) 8 Real functions (26-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Measure and integration (28-XX) 4 Potential theory (31-XX) 2 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

26 Publications have been cited 2,564 times in 2,315 Documents Cited by Year
Measure theory and fine properties of functions. Zbl 0804.28001
Evans, Lawrence C.; Gariepy, Ronald F.
1992
Blowup, compactness and partial regularity in the calculus of variations. Zbl 0626.49007
Evans, L. C.; Gariepy, R. F.
1987
Measure theory and fine properties of functions. 2nd revised ed. Zbl 1310.28001
Evans, Lawrence Craig; Gariepy, Ronald F.
2015
Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019
Crandall, M. G.; Evans, L. C.; Gariepy, R. F.
2001
A regularity condition at the boundary for solutions of quasilinear elliptic equations. Zbl 0389.35023
Gariepy, Ronald; Ziemer, William P.
1977
Wiener’s criterion for the heat equation. Zbl 0508.35038
Evans, Lawrence C.; Gariepy, Ronald F.
1982
Fast/slow diffusion and collapsing sandpiles,. Zbl 0879.35019
Evans, L. C.; Feldman, M.; Gariepy, R. F.
1997
On the partial regularity of energy-minimizing, area-preserving maps. Zbl 0954.49024
Evans, L. C.; Gariepy, R. F.
1999
Some remarks concerning quasiconvexity and strong convergence. Zbl 0628.49011
Evans, L. C.; Gariepy, R. F.
1987
Generalized cone comparison principle for viscosity solutions of the Aronsson equation and absolute minimizers. Zbl 1237.35052
Gariepy, Ronald; Wang, Changyou; Yu, Yifeng
2006
Thermal capacity and boundary regularity. Zbl 0493.35053
Gariepy, Ronald; Ziemer, William P.
1982
Strong solutions in $$L^ 1$$ of degenerate parabolic equations. Zbl 0828.35050
Benilan, Philippe; Gariepy, Ronald
1995
Local behavior of solutions of an elliptic-parabolic equation. Zbl 0627.35052
DiBenedetto, Emmanuele; Gariepy, Ronald
1987
Behavior at the boundary of solutions of quasilinear elliptic equations. Zbl 0297.35032
Gariepy, Ronald; Ziemer, William P.
1974
On the level sets of a distance function in a Minkowski space. Zbl 0228.57005
Gariepy, Ronald; Pepe, W. D.
1972
Space analogues of some theorems for subharmonic and meromorphic functions. Zbl 0311.31004
Gariepy, Ronald; Lewis, John L.
1975
Existence of generalized weak solutions to a model for in situ vitrification. Zbl 0939.35197
Gariepy, R. F.; Shillor, M.; Xu, X.
1998
A Caccioppoli inequality and partial regularity in the calculus of variations. Zbl 0679.49008
Gariepy, Ronald F.
1989
Removable sets for quasilinear parabolic equations. Zbl 0454.35049
Gariepy, Ronald; Ziemer, William P.
1980
A maximum principle with applications to subharmonic functions in n- space. Zbl 0303.31004
Gariepy, Ronald; Lewis, John L.
1974
Current valued measures and Geöcze area. Zbl 0235.28014
Gariepy, Ronald
1972
On some singular limits of homogeneous semigroups. Zbl 1035.35026
Bénilan, P.; Evans, L. C.; Gariepy, R. F.
2003
Blow-up, compactness and partial regularity in the calculus of variations. Zbl 0648.49007
Evans, L. C.; Gariepy, R. F.
1987
A gradient estimate at the boundary for solutions of quasilinear elliptic equations. Zbl 0336.35045
Gariepy, Ronald; Ziemer, William P.
1976
Geometric properties of Sobolev mappings. Zbl 0268.26010
Gariepy, Ronald
1973
Geöcze area and a convergence property. Zbl 0259.28015
Gariepy, Ronald
1972
Measure theory and fine properties of functions. 2nd revised ed. Zbl 1310.28001
Evans, Lawrence Craig; Gariepy, Ronald F.
2015
Generalized cone comparison principle for viscosity solutions of the Aronsson equation and absolute minimizers. Zbl 1237.35052
Gariepy, Ronald; Wang, Changyou; Yu, Yifeng
2006
On some singular limits of homogeneous semigroups. Zbl 1035.35026
Bénilan, P.; Evans, L. C.; Gariepy, R. F.
2003
Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019
Crandall, M. G.; Evans, L. C.; Gariepy, R. F.
2001
On the partial regularity of energy-minimizing, area-preserving maps. Zbl 0954.49024
Evans, L. C.; Gariepy, R. F.
1999
Existence of generalized weak solutions to a model for in situ vitrification. Zbl 0939.35197
Gariepy, R. F.; Shillor, M.; Xu, X.
1998
Fast/slow diffusion and collapsing sandpiles,. Zbl 0879.35019
Evans, L. C.; Feldman, M.; Gariepy, R. F.
1997
Strong solutions in $$L^ 1$$ of degenerate parabolic equations. Zbl 0828.35050
Benilan, Philippe; Gariepy, Ronald
1995
Measure theory and fine properties of functions. Zbl 0804.28001
Evans, Lawrence C.; Gariepy, Ronald F.
1992
A Caccioppoli inequality and partial regularity in the calculus of variations. Zbl 0679.49008
Gariepy, Ronald F.
1989
Blowup, compactness and partial regularity in the calculus of variations. Zbl 0626.49007
Evans, L. C.; Gariepy, R. F.
1987
Some remarks concerning quasiconvexity and strong convergence. Zbl 0628.49011
Evans, L. C.; Gariepy, R. F.
1987
Local behavior of solutions of an elliptic-parabolic equation. Zbl 0627.35052
DiBenedetto, Emmanuele; Gariepy, Ronald
1987
Blow-up, compactness and partial regularity in the calculus of variations. Zbl 0648.49007
Evans, L. C.; Gariepy, R. F.
1987
Wiener’s criterion for the heat equation. Zbl 0508.35038
Evans, Lawrence C.; Gariepy, Ronald F.
1982
Thermal capacity and boundary regularity. Zbl 0493.35053
Gariepy, Ronald; Ziemer, William P.
1982
Removable sets for quasilinear parabolic equations. Zbl 0454.35049
Gariepy, Ronald; Ziemer, William P.
1980
A regularity condition at the boundary for solutions of quasilinear elliptic equations. Zbl 0389.35023
Gariepy, Ronald; Ziemer, William P.
1977
A gradient estimate at the boundary for solutions of quasilinear elliptic equations. Zbl 0336.35045
Gariepy, Ronald; Ziemer, William P.
1976
Space analogues of some theorems for subharmonic and meromorphic functions. Zbl 0311.31004
Gariepy, Ronald; Lewis, John L.
1975
Behavior at the boundary of solutions of quasilinear elliptic equations. Zbl 0297.35032
Gariepy, Ronald; Ziemer, William P.
1974
A maximum principle with applications to subharmonic functions in n- space. Zbl 0303.31004
Gariepy, Ronald; Lewis, John L.
1974
Geometric properties of Sobolev mappings. Zbl 0268.26010
Gariepy, Ronald
1973
On the level sets of a distance function in a Minkowski space. Zbl 0228.57005
Gariepy, Ronald; Pepe, W. D.
1972
Current valued measures and Geöcze area. Zbl 0235.28014
Gariepy, Ronald
1972
Geöcze area and a convergence property. Zbl 0259.28015
Gariepy, Ronald
1972
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#### Cited by 2,622 Authors

 18 Caselles Costa, Vicent 17 Fonseca, Irene 17 Lahti, Panu 16 Rehberg, Joachim 15 Katzourakis, Nikolaos I. 15 Mazón Ruiz, José M. 15 Ziemer, William Paul 14 Andreu, Fuensanta 14 Auchmuty, Giles 14 Wang, Changyou 13 Fusco, Nicola 12 Ambrosio, Luigi 12 Conti, Sergio 12 Malý, Jan 11 Dal Maso, Gianni 11 Figalli, Alessio 11 Lewis, John L. 11 Ponce, Augusto C. 11 Yu, Yifeng 10 Casado-Díaz, Juan 10 Chambolle, Antonin 10 Frid, Hermano 10 Hajłasz, Piotr 10 Kinnunen, Juha 10 Koskela, Pekka 10 Kristensen, Jan 10 Pfeffer, Washek F. 10 Rossi, Julio Daniel 10 Shanmugalingam, Nageswari 10 Xu, Xiangsheng 9 De Philippis, Guido 9 Garofalo, Nicola 9 Korobkov, Mikhail V. 9 Osmolovskij, V. G 9 Scherzer, Otmar 9 Smarrazzo, Flavia 9 Xiao, Jie 8 Bucur, Dorin 8 Dolzmann, Georg 8 Francfort, Gilles A. 8 Giacomini, Alessandro 8 Korte, Riikka 8 Kružík, Martin 8 Maggi, Francesco 8 Martio, Olli 8 Maz’ya, Vladimir Gilelevich 8 Müller, Stefan 8 Nguyen, Hoai-Minh 8 Novaga, Matteo 8 Papageorgiou, Nikolaos S. 8 Shirakawa, Ken 8 Smart, Charles K. 8 Taheri, Ali 8 Zhou, Yuan 7 Armstrong, Scott N. 7 Bertsch, Michiel 7 Bressan, Alberto 7 Calvo-Jurado, Carmen 7 Chen, Gui-Qiang G. 7 Crandall, Michael G. 7 De Pauw, Thierry 7 Fragalà, Ilaria 7 Haller-Dintelmann, Robert 7 Hong, Guanghao 7 Juutinen, Petri 7 Leoni, Giovanni 7 Lytchak, Alexander 7 Nyström, Kaj 7 Parviainen, Mikko 7 Pašić, Mervan 7 Ren, Xiaofeng 7 Serfaty, Sylvia 7 Spadaro, Emanuele Nunzio 7 Toro, Tatiana 7 Wagner, Marcus M. 7 Wenger, Stefan 7 Wolanski, Noemi I. 7 Yang, Xiaoping 6 Alberti, Giovanni 6 Björn, Jana 6 Bogachev, Vladimir Igorevich 6 Bouchitté, Guy 6 Bredies, Kristian 6 Brézis, Haïm 6 De Lellis, Camillo 6 do Nascimento, Arnaldo Simal 6 Duzaar, Frank 6 Fernández Bonder, Julián 6 Franchi, Bruno 6 Garcke, Harald 6 Gariepy, Ronald F. 6 Gianazza, Ugo Pietro 6 Harjulehto, Petteri 6 Henao, Duvan A. 6 Hofmann, Steve 6 Igbida, Noureddine 6 Jiang, Renjin 6 Kim, Inwon Christina 6 Larsen, Christopher J. 6 Lelièvre, Tony ...and 2,522 more Authors
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#### Cited in 337 Serials

 134 Calculus of Variations and Partial Differential Equations 116 Journal of Mathematical Analysis and Applications 114 Archive for Rational Mechanics and Analysis 98 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 90 Journal of Differential Equations 70 Journal of Functional Analysis 64 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 58 Transactions of the American Mathematical Society 50 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 43 Advances in Mathematics 42 Proceedings of the American Mathematical Society 40 The Journal of Geometric Analysis 37 Annali di Matematica Pura ed Applicata. Serie Quarta 35 SIAM Journal on Mathematical Analysis 31 Communications in Partial Differential Equations 31 Journal de Mathématiques Pures et Appliquées. Neuvième Série 31 Journal of Mathematical Sciences (New York) 28 Mathematische Annalen 24 Communications on Pure and Applied Mathematics 23 Manuscripta Mathematica 22 Applied Mathematics and Optimization 21 Discrete and Continuous Dynamical Systems 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 19 NoDEA. Nonlinear Differential Equations and Applications 19 Communications in Contemporary Mathematics 19 Advances in Calculus of Variations 18 Potential Analysis 17 Communications in Mathematical Physics 17 Journal of Evolution Equations 16 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 16 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 14 Journal d’Analyse Mathématique 14 Revista Matemática Iberoamericana 13 Duke Mathematical Journal 13 Journal of Computational and Applied Mathematics 13 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 Mathematical Methods in the Applied Sciences 11 Communications on Pure and Applied Analysis 11 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 10 Mathematische Zeitschrift 10 Numerische Mathematik 10 Journal of Mathematical Imaging and Vision 10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Mathematics of Computation 9 Inventiones Mathematicae 9 Mathematische Nachrichten 9 Numerical Functional Analysis and Optimization 9 Doklady Mathematics 9 Nonlinear Analysis. Real World Applications 9 Nonlinear Analysis. Theory, Methods & Applications 8 Inverse Problems 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Memoirs of the American Mathematical Society 8 Quarterly of Applied Mathematics 8 SIAM Journal on Control and Optimization 8 Zeitschrift für Analysis und ihre Anwendungen 8 Journal of Elasticity 8 Journal of the European Mathematical Society (JEMS) 8 Analysis and Applications (Singapore) 8 SIAM Journal on Imaging Sciences 8 Analysis and Geometry in Metric Spaces 7 Applicable Analysis 7 Archiv der Mathematik 7 Monatshefte für Mathematik 7 Siberian Mathematical Journal 7 Physica D 7 Journal of Scientific Computing 7 Geometric and Functional Analysis. GAFA 6 Computer Methods in Applied Mechanics and Engineering 6 Mathematical Notes 6 Rocky Mountain Journal of Mathematics 6 Arkiv för Matematik 6 Czechoslovak Mathematical Journal 6 Journal für die Reine und Angewandte Mathematik 6 Applied Numerical Mathematics 6 Bulletin of the American Mathematical Society. New Series 6 The Journal of Fourier Analysis and Applications 6 Annales Academiae Scientiarum Fennicae. Mathematica 6 Revista Matemática Complutense 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Computers & Mathematics with Applications 5 Israel Journal of Mathematics 5 Journal of Computational Physics 5 Journal of Statistical Physics 5 Acta Mathematica 5 Journal of Optimization Theory and Applications 5 Rendiconti del Seminario Matematico della Università di Padova 5 Applied Mathematics Letters 5 The Annals of Applied Probability 5 Expositiones Mathematicae 5 Computational Optimization and Applications 5 Bernoulli 5 Milan Journal of Mathematics 5 Journal of Fixed Point Theory and Applications 5 Advances in Nonlinear Analysis 4 Bulletin of the Australian Mathematical Society 4 Nagoya Mathematical Journal 4 Chinese Annals of Mathematics. Series B 4 Acta Applicandae Mathematicae 4 Annals of Global Analysis and Geometry ...and 237 more Serials
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#### Cited in 60 Fields

 1,202 Partial differential equations (35-XX) 651 Calculus of variations and optimal control; optimization (49-XX) 265 Functional analysis (46-XX) 203 Real functions (26-XX) 197 Mechanics of deformable solids (74-XX) 165 Differential geometry (53-XX) 157 Numerical analysis (65-XX) 155 Measure and integration (28-XX) 143 Potential theory (31-XX) 131 Global analysis, analysis on manifolds (58-XX) 116 Probability theory and stochastic processes (60-XX) 114 Fluid mechanics (76-XX) 110 Operator theory (47-XX) 91 Functions of a complex variable (30-XX) 67 Convex and discrete geometry (52-XX) 64 Statistical mechanics, structure of matter (82-XX) 62 Harmonic analysis on Euclidean spaces (42-XX) 60 Information and communication theory, circuits (94-XX) 52 Ordinary differential equations (34-XX) 50 Dynamical systems and ergodic theory (37-XX) 50 Computer science (68-XX) 44 Statistics (62-XX) 43 Biology and other natural sciences (92-XX) 42 Operations research, mathematical programming (90-XX) 38 Systems theory; control (93-XX) 32 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Optics, electromagnetic theory (78-XX) 22 Classical thermodynamics, heat transfer (80-XX) 21 General topology (54-XX) 20 Quantum theory (81-XX) 18 Several complex variables and analytic spaces (32-XX) 18 Integral equations (45-XX) 14 Approximations and expansions (41-XX) 13 Topological groups, Lie groups (22-XX) 13 Geometry (51-XX) 10 Algebraic topology (55-XX) 8 Number theory (11-XX) 8 Special functions (33-XX) 8 Difference and functional equations (39-XX) 8 Relativity and gravitational theory (83-XX) 7 Manifolds and cell complexes (57-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Abstract harmonic analysis (43-XX) 5 Combinatorics (05-XX) 5 Integral transforms, operational calculus (44-XX) 4 Group theory and generalizations (20-XX) 4 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Geophysics (86-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Astronomy and astrophysics (85-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX)