Edit Profile (opens in new tab) Gariepy, Ronald F. Compute Distance To: Compute Author ID: gariepy.ronald-f Published as: Gariepy, Ronald; Gariepy, R. F.; Gariepy, Ronald F. more...less Documents Indexed: 27 Publications since 1972, including 2 Books Co-Authors: 12 Co-Authors with 22 Joint Publications 408 Co-Co-Authors all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 2,710 times in 2,631 Documents Cited by ▼ Year ▼ Measure theory and fine properties of functions. Zbl 0804.28001Evans, Lawrence C.; Gariepy, Ronald F. 1,742 1992 Measure theory and fine properties of functions. 2nd revised ed. Zbl 1310.28001Evans, Lawrence Craig; Gariepy, Ronald F. 300 2015 Blowup, compactness and partial regularity in the calculus of variations. Zbl 0626.49007Evans, L. C.; Gariepy, R. F. 220 1987 Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019Crandall, M. G.; Evans, L. C.; Gariepy, R. F. 115 2001 A regularity condition at the boundary for solutions of quasilinear elliptic equations. Zbl 0389.35023Gariepy, Ronald; Ziemer, William P. 64 1977 Wiener’s criterion for the heat equation. Zbl 0508.35038Evans, Lawrence C.; Gariepy, Ronald F. 58 1982 On the partial regularity of energy-minimizing, area-preserving maps. Zbl 0954.49024Evans, L. C.; Gariepy, R. F. 27 1999 Fast/slow diffusion and collapsing sandpiles,. Zbl 0879.35019Evans, L. C.; Feldman, M.; Gariepy, R. F. 26 1997 Some remarks concerning quasiconvexity and strong convergence. Zbl 0628.49011Evans, L. C.; Gariepy, R. F. 22 1987 Generalized cone comparison principle for viscosity solutions of the Aronsson equation and absolute minimizers. Zbl 1237.35052Gariepy, Ronald; Wang, Changyou; Yu, Yifeng 20 2006 Thermal capacity and boundary regularity. Zbl 0493.35053Gariepy, Ronald; Ziemer, William P. 18 1982 Strong solutions in \(L^ 1\) of degenerate parabolic equations. Zbl 0828.35050Benilan, Philippe; Gariepy, Ronald 18 1995 Local behavior of solutions of an elliptic-parabolic equation. Zbl 0627.35052DiBenedetto, Emmanuele; Gariepy, Ronald 16 1987 Behavior at the boundary of solutions of quasilinear elliptic equations. Zbl 0297.35032Gariepy, Ronald; Ziemer, William P. 13 1974 On the level sets of a distance function in a Minkowski space. Zbl 0228.57005Gariepy, Ronald; Pepe, W. D. 10 1972 Space analogues of some theorems for subharmonic and meromorphic functions. Zbl 0311.31004Gariepy, Ronald; Lewis, John L. 9 1975 Removable sets for quasilinear parabolic equations. Zbl 0454.35049Gariepy, Ronald; Ziemer, William P. 5 1980 A Caccioppoli inequality and partial regularity in the calculus of variations. Zbl 0679.49008Gariepy, Ronald F. 5 1989 Existence of generalized weak solutions to a model for in situ vitrification. Zbl 0939.35197Gariepy, R. F.; Shillor, M.; Xu, X. 5 1998 A maximum principle with applications to subharmonic functions in n- space. Zbl 0303.31004Gariepy, Ronald; Lewis, John L. 4 1974 Current valued measures and Geöcze area. Zbl 0235.28014Gariepy, Ronald 4 1972 On some singular limits of homogeneous semigroups. Zbl 1035.35026Bénilan, P.; Evans, L. C.; Gariepy, R. F. 3 2003 Blow-up, compactness and partial regularity in the calculus of variations. Zbl 0648.49007Evans, L. C.; Gariepy, R. F. 3 1987 A gradient estimate at the boundary for solutions of quasilinear elliptic equations. Zbl 0336.35045Gariepy, Ronald; Ziemer, William P. 1 1976 Geöcze area and a convergence property. Zbl 0259.28015Gariepy, Ronald 1 1972 Geometric properties of Sobolev mappings. Zbl 0268.26010Gariepy, Ronald 1 1973 Measure theory and fine properties of functions. 2nd revised ed. Zbl 1310.28001Evans, Lawrence Craig; Gariepy, Ronald F. 300 2015 Generalized cone comparison principle for viscosity solutions of the Aronsson equation and absolute minimizers. Zbl 1237.35052Gariepy, Ronald; Wang, Changyou; Yu, Yifeng 20 2006 On some singular limits of homogeneous semigroups. Zbl 1035.35026Bénilan, P.; Evans, L. C.; Gariepy, R. F. 3 2003 Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019Crandall, M. G.; Evans, L. C.; Gariepy, R. F. 115 2001 On the partial regularity of energy-minimizing, area-preserving maps. Zbl 0954.49024Evans, L. C.; Gariepy, R. F. 27 1999 Existence of generalized weak solutions to a model for in situ vitrification. Zbl 0939.35197Gariepy, R. F.; Shillor, M.; Xu, X. 5 1998 Fast/slow diffusion and collapsing sandpiles,. Zbl 0879.35019Evans, L. C.; Feldman, M.; Gariepy, R. F. 26 1997 Strong solutions in \(L^ 1\) of degenerate parabolic equations. Zbl 0828.35050Benilan, Philippe; Gariepy, Ronald 18 1995 Measure theory and fine properties of functions. Zbl 0804.28001Evans, Lawrence C.; Gariepy, Ronald F. 1,742 1992 A Caccioppoli inequality and partial regularity in the calculus of variations. Zbl 0679.49008Gariepy, Ronald F. 5 1989 Blowup, compactness and partial regularity in the calculus of variations. Zbl 0626.49007Evans, L. C.; Gariepy, R. F. 220 1987 Some remarks concerning quasiconvexity and strong convergence. Zbl 0628.49011Evans, L. C.; Gariepy, R. F. 22 1987 Local behavior of solutions of an elliptic-parabolic equation. Zbl 0627.35052DiBenedetto, Emmanuele; Gariepy, Ronald 16 1987 Blow-up, compactness and partial regularity in the calculus of variations. Zbl 0648.49007Evans, L. C.; Gariepy, R. F. 3 1987 Wiener’s criterion for the heat equation. Zbl 0508.35038Evans, Lawrence C.; Gariepy, Ronald F. 58 1982 Thermal capacity and boundary regularity. Zbl 0493.35053Gariepy, Ronald; Ziemer, William P. 18 1982 Removable sets for quasilinear parabolic equations. Zbl 0454.35049Gariepy, Ronald; Ziemer, William P. 5 1980 A regularity condition at the boundary for solutions of quasilinear elliptic equations. Zbl 0389.35023Gariepy, Ronald; Ziemer, William P. 64 1977 A gradient estimate at the boundary for solutions of quasilinear elliptic equations. Zbl 0336.35045Gariepy, Ronald; Ziemer, William P. 1 1976 Space analogues of some theorems for subharmonic and meromorphic functions. Zbl 0311.31004Gariepy, Ronald; Lewis, John L. 9 1975 Behavior at the boundary of solutions of quasilinear elliptic equations. Zbl 0297.35032Gariepy, Ronald; Ziemer, William P. 13 1974 A maximum principle with applications to subharmonic functions in n- space. Zbl 0303.31004Gariepy, Ronald; Lewis, John L. 4 1974 Geometric properties of Sobolev mappings. Zbl 0268.26010Gariepy, Ronald 1 1973 On the level sets of a distance function in a Minkowski space. Zbl 0228.57005Gariepy, Ronald; Pepe, W. D. 10 1972 Current valued measures and Geöcze area. Zbl 0235.28014Gariepy, Ronald 4 1972 Geöcze area and a convergence property. Zbl 0259.28015Gariepy, Ronald 1 1972 all cited Publications top 5 cited Publications all top 5 Cited by 2,960 Authors 22 Lahti, Panu 18 Fonseca, Irene 17 Rehberg, Joachim 16 Caselles Costa, Vicent 16 Wang, Changyou 15 Katzourakis, Nikolaos I. 15 Osmolovskij, V. G. 15 Ziemer, William Paul 14 Auchmuty, Giles 14 Mazón Ruiz, José M. 13 Chambolle, Antonin 13 Dal Maso, Gianni 12 Andreu, Fuensanta 12 Conti, Sergio 12 Hajłasz, Piotr 12 Lewis, John L. 12 Malý, Jan 11 Casado-Díaz, Juan 11 De Philippis, Guido 11 Figalli, Alessio 11 Fusco, Nicola 11 Koskela, Pekka 11 Ponce, Augusto C. 11 Shanmugalingam, Nageswari 11 Smarrazzo, Flavia 11 Xiao, Jie 11 Yu, Yifeng 10 Ambrosio, Luigi 10 Hofmann, Steve 10 Kinnunen, Juha 10 Korobkov, Mikhail V. 10 Kristensen, Jan 10 Papageorgiou, Nikolaos S. 10 Pfeffer, Washek Frank 10 Rossi, Julio Daniel 10 Spector, Daniel E. 9 Bucur, Dorin 9 Garofalo, Nicola 9 Giacomini, Alessandro 9 Shirakawa, Ken 9 Taheri, Ali 9 Xu, Xiangsheng 8 Bertsch, Michiel 8 Bressan, Alberto 8 Dapogny, Charles 8 De Pauw, Thierry 8 Dolzmann, Georg 8 Francfort, Gilles A. 8 Frid, Hermano 8 Gianazza, Ugo Pietro 8 Korte, Riikka 8 Kružík, Martin 8 Martio, Olli 8 Maz’ya, Vladimir Gilelevich 8 Moll, Salvador 8 Müller, Stefan 8 Nguyen, Hoai-Minh 8 Novaga, Matteo 8 Nyström, Kaj 8 Parviainen, Mikko 8 Scherzer, Otmar 8 Smart, Charles K. 8 Toro, Tatiana 8 Zhou, Yuan 7 Armstrong, Scott N. 7 Björn, Jana 7 Bredies, Kristian 7 Calvo-Jurado, Carmen 7 Crandall, Michael G. 7 Fragalà, Ilaria 7 Haller-Dintelmann, Robert 7 Hong, Guanghao 7 Hynd, Ryan 7 Ishige, Kazuhiro 7 Juutinen, Petri 7 Leoni, Giovanni 7 Lytchak, Alexander 7 Maggi, Francesco 7 Cardoso Matias, José Carlos Pedro 7 McCann, Robert J. 7 Mitrea, Marius 7 Pašić, Mervan 7 Ren, Xiaofeng 7 Rondi, Luca 7 Segura de León, Sergio 7 Seis, Christian 7 Serfaty, Sylvia 7 Spadaro, Emanuele Nunzio 7 Spector, Scott J. 7 Tesei, Alberto 7 Vazquez, Juan Luis 7 Wagner, Marcus M. 7 Wenger, Stefan 7 Wolanski, Noemi I. 6 Alberti, Giovanni 6 Bogachev, Vladimir Igorevich 6 Bouchitté, Guy 6 Brézis, Haïm 6 Cannarsa, Piermarco 6 Chen, Gui-Qiang G. ...and 2,860 more Authors all top 5 Cited in 379 Serials 152 Calculus of Variations and Partial Differential Equations 126 Journal of Mathematical Analysis and Applications 122 Archive for Rational Mechanics and Analysis 102 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 93 Journal of Differential Equations 75 Journal of Functional Analysis 69 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 62 Transactions of the American Mathematical Society 49 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 47 Proceedings of the American Mathematical Society 46 The Journal of Geometric Analysis 45 Advances in Mathematics 41 SIAM Journal on Mathematical Analysis 40 Annali di Matematica Pura ed Applicata. Serie Quarta 36 Journal de Mathématiques Pures et Appliquées. Neuvième Série 34 Communications in Partial Differential Equations 32 Journal of Mathematical Sciences (New York) 31 Mathematische Annalen 27 Advances in Calculus of Variations 26 Applied Mathematics and Optimization 26 NoDEA. Nonlinear Differential Equations and Applications 24 Communications on Pure and Applied Mathematics 24 Manuscripta Mathematica 23 Communications in Contemporary Mathematics 21 Discrete and Continuous Dynamical Systems 20 Communications in Mathematical Physics 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 19 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 19 Journal of Evolution Equations 18 Potential Analysis 17 Journal d’Analyse Mathématique 16 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 16 Revista Matemática Iberoamericana 15 Journal of Mathematical Imaging and Vision 14 Duke Mathematical Journal 14 Journal of Computational and Applied Mathematics 14 Mathematische Zeitschrift 14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 14 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 12 Inventiones Mathematicae 11 Mathematical Methods in the Applied Sciences 11 Numerische Mathematik 11 SIAM Journal on Control and Optimization 11 Nonlinear Analysis. Real World Applications 11 Communications on Pure and Applied Analysis 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Memoirs of the American Mathematical Society 10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 10 Doklady Mathematics 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Inverse Problems 9 Mathematics of Computation 9 Mathematische Nachrichten 9 Numerical Functional Analysis and Optimization 9 Quarterly of Applied Mathematics 9 Zeitschrift für Analysis und ihre Anwendungen 9 Journal of Elasticity 9 Analysis and Applications (Singapore) 9 SIAM Journal on Imaging Sciences 9 Analysis and Geometry in Metric Spaces 8 Computers & Mathematics with Applications 8 Monatshefte für Mathematik 8 Geometric and Functional Analysis. GAFA 8 Journal of the European Mathematical Society (JEMS) 8 Nonlinear Analysis. Theory, Methods & Applications 7 Applicable Analysis 7 Israel Journal of Mathematics 7 Annales de l’Institut Fourier 7 Archiv der Mathematik 7 Siberian Mathematical Journal 7 Acta Applicandae Mathematicae 7 Journal of Scientific Computing 7 The Journal of Fourier Analysis and Applications 7 Revista Matemática Complutense 7 Milan Journal of Mathematics 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 Rendiconti del Seminario Matematico della Università di Padova 6 Physica D 6 Applied Numerical Mathematics 6 The Annals of Applied Probability 6 Bulletin of the American Mathematical Society. New Series 6 Bernoulli 6 Annales Academiae Scientiarum Fennicae. Mathematica 6 Advanced Nonlinear Studies 6 Advances in Nonlinear Analysis 6 Journal de l’École Polytechnique – Mathématiques 6 Annales Fennici Mathematici 5 Bulletin of the Australian Mathematical Society 5 Computer Methods in Applied Mechanics and Engineering 5 Journal of Statistical Physics 5 Acta Mathematica 5 Journal of Optimization Theory and Applications 5 Systems & Control Letters 5 Annals of Global Analysis and Geometry 5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 5 Expositiones Mathematicae ...and 279 more Serials all top 5 Cited in 59 Fields 1,361 Partial differential equations (35-XX) 714 Calculus of variations and optimal control; optimization (49-XX) 302 Functional analysis (46-XX) 241 Real functions (26-XX) 215 Mechanics of deformable solids (74-XX) 200 Measure and integration (28-XX) 194 Differential geometry (53-XX) 184 Numerical analysis (65-XX) 175 Potential theory (31-XX) 144 Global analysis, analysis on manifolds (58-XX) 139 Probability theory and stochastic processes (60-XX) 126 Fluid mechanics (76-XX) 123 Operator theory (47-XX) 107 Functions of a complex variable (30-XX) 86 Harmonic analysis on Euclidean spaces (42-XX) 86 Convex and discrete geometry (52-XX) 74 Information and communication theory, circuits (94-XX) 72 Statistical mechanics, structure of matter (82-XX) 60 Computer science (68-XX) 56 Dynamical systems and ergodic theory (37-XX) 53 Ordinary differential equations (34-XX) 53 Operations research, mathematical programming (90-XX) 51 Biology and other natural sciences (92-XX) 47 Statistics (62-XX) 43 Systems theory; control (93-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Several complex variables and analytic spaces (32-XX) 26 Classical thermodynamics, heat transfer (80-XX) 25 Optics, electromagnetic theory (78-XX) 24 Quantum theory (81-XX) 22 General topology (54-XX) 19 Topological groups, Lie groups (22-XX) 19 Integral equations (45-XX) 17 Approximations and expansions (41-XX) 14 Geometry (51-XX) 11 Difference and functional equations (39-XX) 11 Algebraic topology (55-XX) 9 Number theory (11-XX) 9 Relativity and gravitational theory (83-XX) 8 Mechanics of particles and systems (70-XX) 7 Combinatorics (05-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Special functions (33-XX) 7 Abstract harmonic analysis (43-XX) 7 Manifolds and cell complexes (57-XX) 5 Integral transforms, operational calculus (44-XX) 4 History and biography (01-XX) 4 Group theory and generalizations (20-XX) 4 Geophysics (86-XX) 3 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Astronomy and astrophysics (85-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX) Citations by Year