Edit Profile (opens in new tab) Sternberg, Peter J. Co-Author Distance Author ID: sternberg.peter-j Published as: Sternberg, Peter; Sternberg, Peter J.; Sternberg, P. more...less Documents Indexed: 73 Publications since 1988 2 Contributions as Editor Co-Authors: 48 Co-Authors with 66 Joint Publications 1,185 Co-Co-Authors all top 5 Co-Authors 6 single-authored 17 Rubinstein, Jacob 8 Golovaty, Dmitry 8 Ziemer, William Paul 6 Zumbrun, Kevin R. 5 Novack, Michael R. 3 Craig, Walter 3 Keller, Joseph Bishop 3 Montero, José Alberto 3 Venkatraman, Raghavendra 2 Alama, Stan 2 Bronsard, Lia 2 Choksi, Rustum 2 Contreras, Andres A. 2 Dadok, Jiri 2 Glassey, Robert Thomas 2 Jerrard, Robert Leon 2 Jin, Weimin 2 Owen, Nicholas C. 2 Peres Hari, Lydia 2 Schatzman, Michelle 2 Wolansky, Gershon 1 Bauman, Patricia E. 1 Bedford, Eric 1 Bercovici, Hari 1 Bernoff, Andrew J. 1 Carrillo de la Plata, José Antonio 1 Chen, Chaonien 1 Chen, Ko-Shin 1 Del Pino, Manuel A. 1 Felmer, Patricio L. 1 Gelantalis, Michael 1 Ilmanen, Thomas 1 Jimbo, Shuichi 1 Kim, Junghwa 1 Kim, Youngki 1 Kim, Yun-Hui 1 Kohn, Robert Vita 1 Larson, Michael E. 1 Lavrentovich, Oleg D. 1 Le, Nam Q. 1 Montero, Alberto 1 Morini, Massimiliano 1 Patacchini, Francesco Saverio 1 Phillips, Daniel R. 1 Shieh, Tien-Tsan 1 Solomon, Bruce 1 Topaloglu, Ihsan 1 Zúñiga, Andrés all top 5 Serials 6 Archive for Rational Mechanics and Analysis 5 Journal of Mathematical Physics 5 SIAM Journal on Applied Mathematics 5 SIAM Journal on Mathematical Analysis 4 Journal of Differential Equations 3 Communications in Mathematical Physics 3 Journal für die Reine und Angewandte Mathematik 3 Quarterly of Applied Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Communications on Pure and Applied Mathematics 2 Rocky Mountain Journal of Mathematics 2 Indiana University Mathematics Journal 2 European Journal of Applied Mathematics 2 The Journal of Geometric Analysis 2 Journal of Nonlinear Science 2 Calculus of Variations and Partial Differential Equations 2 Interfaces and Free Boundaries 1 IMA Journal of Applied Mathematics 1 Journal of Fluid Mechanics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Physica D 1 Asymptotic Analysis 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Communications in Analysis and Geometry 1 Discrete and Continuous Dynamical Systems 1 RIMS Kokyuroku 1 Journal of the European Mathematical Society (JEMS) 1 CRM Proceedings & Lecture Notes 1 Mathematical Modelling of Natural Phenomena 1 Nonlinear Analysis. Theory, Methods & Applications 1 Pure and Applied Functional Analysis all top 5 Fields 48 Partial differential equations (35-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 21 Statistical mechanics, structure of matter (82-XX) 15 Fluid mechanics (76-XX) 8 Global analysis, analysis on manifolds (58-XX) 4 Differential geometry (53-XX) 4 Mechanics of deformable solids (74-XX) 4 Biology and other natural sciences (92-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 65 Publications have been cited 1,580 times in 1,088 Documents Cited by ▼ Year ▼ The effect of a singular perturbation on nonconvex variational problems. Zbl 0647.49021Sternberg, Peter 181 1988 Local minimisers and singular perturbations. Zbl 0676.49011Kohn, Robert V.; Sternberg, Peter 175 1989 Nonlocal reaction-diffusion equations and nucleation. Zbl 0763.35051Rubinstein, Jacob; Sternberg, Peter 132 1992 Fast reaction, slow diffusion, and curve shortening. Zbl 0701.35012Rubinstein, Jacob; Sternberg, Peter; Keller, Joseph B. 124 1989 Connectivity of phase boundaries in strictly convex domains. Zbl 0911.49025Sternberg, Peter; Zumbrun, Kevin 63 1998 Symmetry of solitary waves. Zbl 0651.76008Craig, Walter; Sternberg, Peter 55 1988 Existence, uniqueness, and regularity for functions of least gradient. Zbl 0756.49021Sternberg, Peter; Williams, Graham; Ziemer, William P. 51 1992 A Poincaré inequality with applications to volume-constrained area-minimizing surfaces. Zbl 0967.53006Sternberg, Peter; Zumbrun, Kevin 51 1998 Vector-valued local minimizers of nonconvex variational problems. Zbl 0737.49009Sternberg, Peter 48 1991 On the first and second variations of a nonlocal isoperimetric problem. Zbl 1132.35029Choksi, Rustum; Sternberg, Peter 41 2007 Onset of superconductivity in decreasing fields for general domains. Zbl 1056.82523Bernoff, Andrew; Sternberg, Peter 39 1998 Nonconvex variational problems with anisotropic perturbations. Zbl 0748.49034Owen, Nicholas C.; Sternberg, Peter 38 1991 Boundary concentration for eigenvalue problems related to the onset of superconductivity. Zbl 0982.35077del Pino, Manuel; Felmer, Patricio L.; Sternberg, Peter 38 2000 Minimizers and gradient flows for singularly perturbed bi-stable potentials with a Dirichlet condition. Zbl 0722.49021Owen, N. C.; Rubinstein, J.; Sternberg, P. 35 1990 On the connectivity of boundaries of sets minimizing perimeter subject to a volume constraint. Zbl 0930.49024Sternberg, Peter; Zumbrun, Kevin 33 1999 Reaction-diffusion processes and evolution to harmonic maps. Zbl 0702.35128Rubinstein, Jacob; Sternberg, Peter; Keller, Joseph B. 31 1989 On the global minimizers of a nonlocal isoperimetric problem in two dimensions. Zbl 1216.35019Sternberg, Peter; Topaloglu, Ihsan 28 2011 Energy estimates for the von Kármán model of thin-film blistering. Zbl 1028.74036Jin, Weimin; Sternberg, Peter 26 2001 Cascade of minimizers for a nonlocal isoperimetric problem in thin domains. Zbl 1301.49121Morini, Massimiliano; Sternberg, Peter 24 2014 Generalized motion by curvature with a Dirichlet condition. Zbl 0810.35048Sternberg, Peter; Ziemer, William P. 23 1994 Homotopy classification of minimizers of the Ginzburg-Landau energy and the existence of permanent currents. Zbl 0860.35131Rubinstein, Jacob; Sternberg, Peter 22 1996 Periodic phase separation: the periodic Cahn-Hilliard and isoperimetric problems. Zbl 1109.35092Choksi, Rustum; Sternberg, Peter 19 2006 On the slow motion of vortices in the Ginzburg-Landau heat flow. Zbl 0838.35102Rubinstein, Jacob; Sternberg, Peter 19 1995 Dimension reduction for the Landau-de Gennes model in planar nematic thin films. Zbl 1339.35241Golovaty, Dmitry; Montero, José Alberto; Sternberg, Peter 19 2015 On the heteroclinic connection problem for multi-well gradient systems. Zbl 1353.37127Zuniga, Andres; Sternberg, Peter 19 2016 Local minimizers of the Ginzburg-Landau energy with magnetic field in three dimensions. Zbl 1065.58012Jerrard, Robert; Montero, Alberto; Sternberg, Peter 17 2004 Critical points via \(\Gamma \)-convergence: general theory and applications. Zbl 1171.49011Jerrard, Robert L.; Sternberg, Peter 14 2009 The resistive state in a superconducting wire: Bifurcation from the normal state. Zbl 1187.82150Rubinstein, Jacob; Sternberg, Peter; Zumbrun, Kevin 14 2010 \(\Gamma\)-convergence and the emergence of vortices for Ginzburg-Landau on thin shells and manifolds. Zbl 1193.49053Contreras, Andres; Sternberg, Peter 14 2010 The Dirichlet problem for functions of least gradient. Zbl 0818.49024Sternberg, Peter; Ziemer, William P. 13 1993 Vortex annihilation in nonlinear heat flow for Ginzburg-Landau systems. Zbl 0845.35042Bauman, Patricia; Chen, Chao-Nien; Phillips, Daniel; Sternberg, Peter 13 1995 Convergence of a particle method for diffusive gradient flows in one dimension. Zbl 1357.65146Carrillo, J. A.; Patacchini, F. S.; Sternberg, P.; Wolansky, G. 12 2016 Corrections to: ”Vector-valued local minimizers of nonconvex variational problems”. Zbl 0760.49008Sternberg, Peter 12 1991 Local minimizers with vortices to the Ginzburg-Landau system in three dimensions. Zbl 1052.49002Montero, J. Alberto; Sternberg, Peter; Ziemer, William P. 11 2004 Dimension reduction for the Landau-de Gennes model on curved nematic thin films. Zbl 1382.35220Golovaty, Dmitry; Montero, José Alberto; Sternberg, Peter 10 2017 Local minimisers of a three-phase partition problem with triple junctions. Zbl 0843.49025Sternberg, Peter; Zeimer, William P. 9 1994 The constrained least gradient problem in \(R^ n\). Zbl 0788.49034Sternberg, Peter; Williams, Graham; Ziemer, William P. 8 1993 Front interaction and nonhomogeneous equilibria for tristable reaction- diffusion equations. Zbl 0806.35081Rubinstein, Jacob; Sternberg, Peter; Keller, Joseph B. 8 1993 A Ginzburg-Landau-type problem for highly anisotropic nematic liquid crystals. Zbl 1454.35360Golovaty, Dmitry; Sternberg, Peter; Venkatraman, Raghavendra 8 2019 Symmetry of free-surface flows. Zbl 0765.76015Craig, Walter; Sternberg, Peter 8 1992 On the behavior of a superconducting wire subjected to a constant voltage difference. Zbl 1215.35021Rubinstein, Jacob; Sternberg, Peter; Kim, Junghwa 7 2010 \(C^{1,1}\)-regularity of constrained area minimizing hypersurfaces. Zbl 0743.49016Sternberg, Peter; Ziemer, William P.; Williams, Graham 7 1991 A model problem for nematic-isotropic transitions with highly disparate elastic constants. Zbl 1437.35271Golovaty, Dmitry; Novack, Michael; Sternberg, Peter; Venkatraman, Raghavendra 7 2020 Ginzburg-Landau model in thin loops with narrow constrictions. Zbl 1060.35135Rubinstein, Jacob; Schatzman, Michelle; Sternberg, Peter 6 2004 Dynamics of Ginzburg-Landau and Gross-Pitaevskii vortices on manifolds. Zbl 1274.35397Chen, Ko-Shin; Sternberg, Peter 5 2014 Rotating 2N-vortex solutions to the Gross-Pitaevskii equation on \(S^2\). Zbl 1278.35228Gelantalis, Michael; Sternberg, Peter 5 2012 Nonexistence of permanent currents in convex planar samples. Zbl 1055.49031Jimbo, Shuichi; Sternberg, Peter 5 2002 In-plane displacements in thin-film blistering. Zbl 1036.74038Jin, Weimin; Sternberg, Peter 5 2002 Equilibrium solutions to generalized motion by mean curvature. Zbl 0941.35028Ilmanen, Tom; Sternberg, Peter; Ziemer, William P. 4 1998 Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field. Zbl 1286.35029Peres Hari, Lydia; Rubinstein, Jacob; Sternberg, Peter 4 2013 Phase transitions in nematics: textures with tactoids and disclinations. Zbl 1473.35522Golovaty, Dmitry; Kim, Young-Ki; Lavrentovich, Oleg D.; Novack, Michael; Sternberg, Peter 3 2020 Elliptic problems on networks with constrictions. Zbl 1106.35114Rubinstein, Jacob; Sternberg, Peter; Wolansky, Gershon 2 2006 A singular local minimizer for the volume-constrained minimal surface problem in a nonconvex domain. Zbl 1401.49055Sternberg, Peter; Zumbrun, Kevin 2 2018 Asymptotic behavior of Allen-Cahn-type energies and Neumann eigenvalues via inner variations. Zbl 1420.49050Le, Nam Q.; Sternberg, Peter J. 2 2019 Recent results on the onset of superconductivity: domains with corners. Zbl 1058.82542Sternberg, Peter 2 2000 Limits of a Ginzburg-Landau model with codimension-one defects. Zbl 1061.82028Rubinstein, J.; Sternberg, P. 2 2003 On the normal/superconducting phase transition in the presence of large magnetic fields. Zbl 0976.82056Sternberg, Peter 2 2000 A modified Ginzburg-Landau model for Josephson junctions in a ring. Zbl 1042.35080Hill, E.; Rubinstein, J.; Sternberg, P. 2 2002 A degenerate isoperimetric problem and traveling waves to a bistable Hamiltonian system. Zbl 1365.49042Alama, Stan; Bronsard, Lia; Contreras, Andres; Dadok, Jiri; Sternberg, Peter 1 2017 Topologically driven local minimizers of the Oseen-Frank energy. Zbl 1111.82060Kim, Yun-Hui; Rubinstein, Jacob; Sternberg, Peter 1 2005 The onset problem for a thin superconducting loop in a large magnetic field. Zbl 1157.82419Shieh, Tien-Tsan; Sternberg, Peter 1 2006 Comparison principles for free-surface flows with gravity. Zbl 0850.76085Craig, Walter; Sternberg, Peter 1 1991 Reduced equations for the hydroelastic waves in the cochlea: the spring model. Zbl 1346.92015Hari, Lydia Peres; Rubinstein, Jacob; Sternberg, Peter 1 2016 Reduced equations for the hydroelastic waves in the cochlea: the membrane model. Zbl 1460.35356Rubinstein, Jacob; Sternberg, Peter 1 2020 A novel Landau-de Gennes model with quartic elastic terms. Zbl 1505.35158Golovaty, Dmitry; Novack, Michael; Sternberg, Peter 1 2021 A novel Landau-de Gennes model with quartic elastic terms. Zbl 1505.35158Golovaty, Dmitry; Novack, Michael; Sternberg, Peter 1 2021 A model problem for nematic-isotropic transitions with highly disparate elastic constants. Zbl 1437.35271Golovaty, Dmitry; Novack, Michael; Sternberg, Peter; Venkatraman, Raghavendra 7 2020 Phase transitions in nematics: textures with tactoids and disclinations. Zbl 1473.35522Golovaty, Dmitry; Kim, Young-Ki; Lavrentovich, Oleg D.; Novack, Michael; Sternberg, Peter 3 2020 Reduced equations for the hydroelastic waves in the cochlea: the membrane model. Zbl 1460.35356Rubinstein, Jacob; Sternberg, Peter 1 2020 A Ginzburg-Landau-type problem for highly anisotropic nematic liquid crystals. Zbl 1454.35360Golovaty, Dmitry; Sternberg, Peter; Venkatraman, Raghavendra 8 2019 Asymptotic behavior of Allen-Cahn-type energies and Neumann eigenvalues via inner variations. Zbl 1420.49050Le, Nam Q.; Sternberg, Peter J. 2 2019 A singular local minimizer for the volume-constrained minimal surface problem in a nonconvex domain. Zbl 1401.49055Sternberg, Peter; Zumbrun, Kevin 2 2018 Dimension reduction for the Landau-de Gennes model on curved nematic thin films. Zbl 1382.35220Golovaty, Dmitry; Montero, José Alberto; Sternberg, Peter 10 2017 A degenerate isoperimetric problem and traveling waves to a bistable Hamiltonian system. Zbl 1365.49042Alama, Stan; Bronsard, Lia; Contreras, Andres; Dadok, Jiri; Sternberg, Peter 1 2017 On the heteroclinic connection problem for multi-well gradient systems. Zbl 1353.37127Zuniga, Andres; Sternberg, Peter 19 2016 Convergence of a particle method for diffusive gradient flows in one dimension. Zbl 1357.65146Carrillo, J. A.; Patacchini, F. S.; Sternberg, P.; Wolansky, G. 12 2016 Reduced equations for the hydroelastic waves in the cochlea: the spring model. Zbl 1346.92015Hari, Lydia Peres; Rubinstein, Jacob; Sternberg, Peter 1 2016 Dimension reduction for the Landau-de Gennes model in planar nematic thin films. Zbl 1339.35241Golovaty, Dmitry; Montero, José Alberto; Sternberg, Peter 19 2015 Cascade of minimizers for a nonlocal isoperimetric problem in thin domains. Zbl 1301.49121Morini, Massimiliano; Sternberg, Peter 24 2014 Dynamics of Ginzburg-Landau and Gross-Pitaevskii vortices on manifolds. Zbl 1274.35397Chen, Ko-Shin; Sternberg, Peter 5 2014 Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field. Zbl 1286.35029Peres Hari, Lydia; Rubinstein, Jacob; Sternberg, Peter 4 2013 Rotating 2N-vortex solutions to the Gross-Pitaevskii equation on \(S^2\). Zbl 1278.35228Gelantalis, Michael; Sternberg, Peter 5 2012 On the global minimizers of a nonlocal isoperimetric problem in two dimensions. Zbl 1216.35019Sternberg, Peter; Topaloglu, Ihsan 28 2011 The resistive state in a superconducting wire: Bifurcation from the normal state. Zbl 1187.82150Rubinstein, Jacob; Sternberg, Peter; Zumbrun, Kevin 14 2010 \(\Gamma\)-convergence and the emergence of vortices for Ginzburg-Landau on thin shells and manifolds. Zbl 1193.49053Contreras, Andres; Sternberg, Peter 14 2010 On the behavior of a superconducting wire subjected to a constant voltage difference. Zbl 1215.35021Rubinstein, Jacob; Sternberg, Peter; Kim, Junghwa 7 2010 Critical points via \(\Gamma \)-convergence: general theory and applications. Zbl 1171.49011Jerrard, Robert L.; Sternberg, Peter 14 2009 On the first and second variations of a nonlocal isoperimetric problem. Zbl 1132.35029Choksi, Rustum; Sternberg, Peter 41 2007 Periodic phase separation: the periodic Cahn-Hilliard and isoperimetric problems. Zbl 1109.35092Choksi, Rustum; Sternberg, Peter 19 2006 Elliptic problems on networks with constrictions. Zbl 1106.35114Rubinstein, Jacob; Sternberg, Peter; Wolansky, Gershon 2 2006 The onset problem for a thin superconducting loop in a large magnetic field. Zbl 1157.82419Shieh, Tien-Tsan; Sternberg, Peter 1 2006 Topologically driven local minimizers of the Oseen-Frank energy. Zbl 1111.82060Kim, Yun-Hui; Rubinstein, Jacob; Sternberg, Peter 1 2005 Local minimizers of the Ginzburg-Landau energy with magnetic field in three dimensions. Zbl 1065.58012Jerrard, Robert; Montero, Alberto; Sternberg, Peter 17 2004 Local minimizers with vortices to the Ginzburg-Landau system in three dimensions. Zbl 1052.49002Montero, J. Alberto; Sternberg, Peter; Ziemer, William P. 11 2004 Ginzburg-Landau model in thin loops with narrow constrictions. Zbl 1060.35135Rubinstein, Jacob; Schatzman, Michelle; Sternberg, Peter 6 2004 Limits of a Ginzburg-Landau model with codimension-one defects. Zbl 1061.82028Rubinstein, J.; Sternberg, P. 2 2003 Nonexistence of permanent currents in convex planar samples. Zbl 1055.49031Jimbo, Shuichi; Sternberg, Peter 5 2002 In-plane displacements in thin-film blistering. Zbl 1036.74038Jin, Weimin; Sternberg, Peter 5 2002 A modified Ginzburg-Landau model for Josephson junctions in a ring. Zbl 1042.35080Hill, E.; Rubinstein, J.; Sternberg, P. 2 2002 Energy estimates for the von Kármán model of thin-film blistering. Zbl 1028.74036Jin, Weimin; Sternberg, Peter 26 2001 Boundary concentration for eigenvalue problems related to the onset of superconductivity. Zbl 0982.35077del Pino, Manuel; Felmer, Patricio L.; Sternberg, Peter 38 2000 Recent results on the onset of superconductivity: domains with corners. Zbl 1058.82542Sternberg, Peter 2 2000 On the normal/superconducting phase transition in the presence of large magnetic fields. Zbl 0976.82056Sternberg, Peter 2 2000 On the connectivity of boundaries of sets minimizing perimeter subject to a volume constraint. Zbl 0930.49024Sternberg, Peter; Zumbrun, Kevin 33 1999 Connectivity of phase boundaries in strictly convex domains. Zbl 0911.49025Sternberg, Peter; Zumbrun, Kevin 63 1998 A Poincaré inequality with applications to volume-constrained area-minimizing surfaces. Zbl 0967.53006Sternberg, Peter; Zumbrun, Kevin 51 1998 Onset of superconductivity in decreasing fields for general domains. Zbl 1056.82523Bernoff, Andrew; Sternberg, Peter 39 1998 Equilibrium solutions to generalized motion by mean curvature. Zbl 0941.35028Ilmanen, Tom; Sternberg, Peter; Ziemer, William P. 4 1998 Homotopy classification of minimizers of the Ginzburg-Landau energy and the existence of permanent currents. Zbl 0860.35131Rubinstein, Jacob; Sternberg, Peter 22 1996 On the slow motion of vortices in the Ginzburg-Landau heat flow. Zbl 0838.35102Rubinstein, Jacob; Sternberg, Peter 19 1995 Vortex annihilation in nonlinear heat flow for Ginzburg-Landau systems. Zbl 0845.35042Bauman, Patricia; Chen, Chao-Nien; Phillips, Daniel; Sternberg, Peter 13 1995 Generalized motion by curvature with a Dirichlet condition. Zbl 0810.35048Sternberg, Peter; Ziemer, William P. 23 1994 Local minimisers of a three-phase partition problem with triple junctions. Zbl 0843.49025Sternberg, Peter; Zeimer, William P. 9 1994 The Dirichlet problem for functions of least gradient. Zbl 0818.49024Sternberg, Peter; Ziemer, William P. 13 1993 The constrained least gradient problem in \(R^ n\). Zbl 0788.49034Sternberg, Peter; Williams, Graham; Ziemer, William P. 8 1993 Front interaction and nonhomogeneous equilibria for tristable reaction- diffusion equations. Zbl 0806.35081Rubinstein, Jacob; Sternberg, Peter; Keller, Joseph B. 8 1993 Nonlocal reaction-diffusion equations and nucleation. Zbl 0763.35051Rubinstein, Jacob; Sternberg, Peter 132 1992 Existence, uniqueness, and regularity for functions of least gradient. Zbl 0756.49021Sternberg, Peter; Williams, Graham; Ziemer, William P. 51 1992 Symmetry of free-surface flows. Zbl 0765.76015Craig, Walter; Sternberg, Peter 8 1992 Vector-valued local minimizers of nonconvex variational problems. Zbl 0737.49009Sternberg, Peter 48 1991 Nonconvex variational problems with anisotropic perturbations. Zbl 0748.49034Owen, Nicholas C.; Sternberg, Peter 38 1991 Corrections to: ”Vector-valued local minimizers of nonconvex variational problems”. Zbl 0760.49008Sternberg, Peter 12 1991 \(C^{1,1}\)-regularity of constrained area minimizing hypersurfaces. Zbl 0743.49016Sternberg, Peter; Ziemer, William P.; Williams, Graham 7 1991 Comparison principles for free-surface flows with gravity. Zbl 0850.76085Craig, Walter; Sternberg, Peter 1 1991 Minimizers and gradient flows for singularly perturbed bi-stable potentials with a Dirichlet condition. Zbl 0722.49021Owen, N. C.; Rubinstein, J.; Sternberg, P. 35 1990 Local minimisers and singular perturbations. Zbl 0676.49011Kohn, Robert V.; Sternberg, Peter 175 1989 Fast reaction, slow diffusion, and curve shortening. Zbl 0701.35012Rubinstein, Jacob; Sternberg, Peter; Keller, Joseph B. 124 1989 Reaction-diffusion processes and evolution to harmonic maps. Zbl 0702.35128Rubinstein, Jacob; Sternberg, Peter; Keller, Joseph B. 31 1989 The effect of a singular perturbation on nonconvex variational problems. Zbl 0647.49021Sternberg, Peter 181 1988 Symmetry of solitary waves. Zbl 0651.76008Craig, Walter; Sternberg, Peter 55 1988 all cited Publications top 5 cited Publications all top 5 Cited by 1,154 Authors 34 Sternberg, Peter J. 26 Wei, Juncheng 23 Valdinoci, Enrico 22 Ren, Xiaofeng 18 Bronsard, Lia 16 Fonseca, Irene 15 Almog, Yaniv 14 Fusco, Giorgio 14 Golovaty, Dmitry 14 Helffer, Bernard 14 Yang, Xiaofeng 13 Kohn, Robert Vita 12 Conti, Sergio 12 Górny, Wojciech 12 Müller, Stefan 11 Alama, Stan 11 Alikakos, Nicholas D. 11 Farina, Alberto 11 Majumdar, Apala 10 Del Pino, Manuel A. 10 Garcke, Harald 10 Jerrard, Robert Leon 10 Kowalczyk, Michał 10 Muratov, Cyrill B. 10 Novaga, Matteo 10 Orlandi, Giandomenico 10 Serfaty, Sylvia 10 Tonegawa, Yoshihiro 9 Choksi, Rustum 9 Giga, Yoshikazu 9 Lahti, Panu 9 Pan, Xingbin 9 Yang, Jun 8 Hilhorst, Danielle 8 Morini, Massimiliano 8 Novack, Michael R. 8 Pinamonti, Andrea 8 Shafrir, Itai 8 Sonego, Maicon 8 Wheeler, Miles H. 7 Chen, Xinfu 7 Dipierro, Serena 7 Fazly, Mostafa 7 Folino, Raffaele 7 Fournais, Søren 7 Leoni, Giovanni 7 Lin, Fang Hua 7 Montecchiari, Piero 7 Rubinstein, Jacob 7 Rybka, Piotr 7 Sire, Yannick 7 Slastikov, Valeriy V. 7 Venkatraman, Raghavendra 7 Wang, Xiaoliu 6 Bates, Peter W. 6 Bertozzi, Andrea Louise 6 Bethuel, Fabrice 6 Bonnaillie-Noël, Virginie 6 Carrillo de la Plata, José Antonio 6 Constantin, Adrian 6 Contreras, Andres A. 6 Cristoferi, Riccardo 6 do Nascimento, Arnaldo Simal 6 Fogagnolo, Mattia 6 Matano, Hiroshi 6 Milman, Emanuel 6 Montero, José Alberto 6 Moradifam, Amir 6 Ortiz, Michael 6 Poliakovsky, Arkady 6 Rabinowitz, Paul Henry 6 Raymond, Nicolas 6 Ritoré, Manuel 6 Witelski, Thomas P. 5 Baldo, Sisto 5 Bella, Peter 5 Berlyand, Leonid V. 5 Canevari, Giacomo 5 Du, Qiang 5 Fusco, Nicola 5 Han, Yucen 5 James, Richard D. 5 Kachmar, Ayman 5 Karali, Georgia D. 5 Kim, Junseok 5 Knüpfer, Hans 5 Lee, Hyun Geun 5 Novick-Cohen, Amy 5 Shanmugalingam, Nageswari 5 Smets, Didier 5 Soner, Halil Mete 5 Walsh, Samuel 5 Wei, Suting 5 Zhai, Jian 5 Zhang, Zhifei 4 Aftalion, Amandine 4 Bellettini, Giovanni 4 Brézis, Haïm 4 Chen, Chuanjun 4 Cicalese, Marco ...and 1,054 more Authors all top 5 Cited in 207 Serials 80 Archive for Rational Mechanics and Analysis 63 Calculus of Variations and Partial Differential Equations 46 Journal of Differential Equations 33 Physica D 27 Journal of Computational Physics 25 SIAM Journal on Mathematical Analysis 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 21 Journal of Mathematical Physics 21 Journal of Functional Analysis 20 Communications on Pure and Applied Mathematics 20 Transactions of the American Mathematical Society 20 Journal of Nonlinear Science 20 Discrete and Continuous Dynamical Systems 19 Communications in Partial Differential Equations 18 Communications in Mathematical Physics 16 European Journal of Applied Mathematics 16 The Journal of Geometric Analysis 16 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 15 Journal of Mathematical Analysis and Applications 15 SIAM Journal on Applied Mathematics 13 Computer Methods in Applied Mechanics and Engineering 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 NoDEA. Nonlinear Differential Equations and Applications 11 Applied Mathematics Letters 9 Journal of Fluid Mechanics 9 Journal of Statistical Physics 9 Journal of Computational and Applied Mathematics 9 Mathematische Annalen 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Interfaces and Free Boundaries 9 Communications on Pure and Applied Analysis 8 Indiana University Mathematics Journal 8 Journal of Scientific Computing 8 Japan Journal of Industrial and Applied Mathematics 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Computers & Mathematics with Applications 7 Proceedings of the American Mathematical Society 7 Communications in Contemporary Mathematics 7 Nonlinear Analysis. Theory, Methods & Applications 6 Applicable Analysis 6 Journal of the Mechanics and Physics of Solids 6 Nonlinearity 6 Rocky Mountain Journal of Mathematics 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Journal für die Reine und Angewandte Mathematik 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Journal of the European Mathematical Society (JEMS) 5 Reviews in Mathematical Physics 5 Applied Mathematics and Optimization 5 Duke Mathematical Journal 5 Inventiones Mathematicae 5 Quarterly of Applied Mathematics 5 Geometric and Functional Analysis. GAFA 5 Journal of Elasticity 5 Discrete and Continuous Dynamical Systems. Series B 5 SIAM Journal on Applied Dynamical Systems 4 Israel Journal of Mathematics 4 Mathematical Methods in the Applied Sciences 4 Wave Motion 4 Studies in Applied Mathematics 4 Applied Numerical Mathematics 4 Bulletin of the American Mathematical Society. New Series 4 Journal of Dynamics and Differential Equations 4 Continuum Mechanics and Thermodynamics 4 Communications in Nonlinear Science and Numerical Simulation 4 Nonlinear Analysis. Real World Applications 4 Advances in Calculus of Variations 4 Journal of Spectral Theory 4 Analysis and Geometry in Metric Spaces 3 Mathematics of Computation 3 Advances in Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Applied Mathematics and Computation 3 Manuscripta Mathematica 3 Revista Matemática Iberoamericana 3 Asymptotic Analysis 3 SIAM Journal on Scientific Computing 3 Journal of Mathematical Fluid Mechanics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Journal of Fixed Point Theory and Applications 3 Communications in Computational Physics 3 Analysis & PDE 3 Advances in Nonlinear Analysis 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Mathematics in Engineering 2 Journal d’Analyse Mathématique 2 Psychometrika 2 Annales de l’Institut Fourier 2 The Annals of Probability 2 Archiv der Mathematik 2 Journal of the London Mathematical Society. Second Series 2 Numerische Mathematik 2 Tôhoku Mathematical Journal. Second Series 2 Chinese Annals of Mathematics. Series B 2 Annals of Global Analysis and Geometry 2 Journal of the American Mathematical Society 2 Science in China. Series A 2 Boletim da Sociedade Brasileira de Matemática. Nova Série ...and 107 more Serials all top 5 Cited in 44 Fields 704 Partial differential equations (35-XX) 278 Calculus of variations and optimal control; optimization (49-XX) 208 Statistical mechanics, structure of matter (82-XX) 163 Fluid mechanics (76-XX) 132 Mechanics of deformable solids (74-XX) 129 Numerical analysis (65-XX) 93 Differential geometry (53-XX) 89 Global analysis, analysis on manifolds (58-XX) 42 Biology and other natural sciences (92-XX) 33 Dynamical systems and ergodic theory (37-XX) 32 Ordinary differential equations (34-XX) 31 Quantum theory (81-XX) 24 Classical thermodynamics, heat transfer (80-XX) 20 Operator theory (47-XX) 19 Real functions (26-XX) 18 Probability theory and stochastic processes (60-XX) 17 Optics, electromagnetic theory (78-XX) 15 Potential theory (31-XX) 14 Functional analysis (46-XX) 13 Integral equations (45-XX) 12 Convex and discrete geometry (52-XX) 10 Computer science (68-XX) 9 Functions of a complex variable (30-XX) 8 Statistics (62-XX) 8 Information and communication theory, circuits (94-XX) 5 Measure and integration (28-XX) 5 Systems theory; control (93-XX) 4 Approximations and expansions (41-XX) 4 Operations research, mathematical programming (90-XX) 3 Number theory (11-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Geometry (51-XX) 3 Mechanics of particles and systems (70-XX) 3 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) Citations by Year