Edit Profile (opens in new tab) Kowalczyk, Michał Co-Author Distance Author ID: kowalczyk.michal Published as: Kowalczyk, Michał; Kowalczyk, Michal; Kowalczyk, M.; Kowalszyk, Michał; Kowalczyk, Micha more...less Homepage: https://www.cmm.uchile.cl/?cmm_people=michal-kowalczyk External Links: MGP · ORCID · ResearchGate · dblp Documents Indexed: 78 Publications since 1996, including 2 Additional arXiv Preprints 1 Further Contribution Reviewing Activity: 11 Reviews Co-Authors: 49 Co-Authors with 75 Joint Publications 1,781 Co-Co-Authors all top 5 Co-Authors 4 single-authored 23 Del Pino, Manuel A. 18 Wei, Juncheng 8 Pacard, Frank 7 Dolbeault, Jean 7 Kinderlehrer, David 7 Liu, Yong 6 Martel, Yvan 5 Clerc, Marcel G. 5 Muñoz, Claudio 5 Smyrnelis, Panayotis 4 Chen, Xinfu 3 Esteban, Maria J. 3 Loss, Michael 3 Pistoia, Angela 3 Vaira, Giusi 2 Alikakos, Nicholas D. 2 Blanchet, Adrien 2 Felmer, Patricio L. 2 Hernández, Álvaro 2 Jendrej, Jacek 2 Lamy, Xavier 2 Lawrie, Andrew G. W. 2 Musso, Monica 2 Rizzi, Matteo 1 Agudelo, Oscar Mauricio 1 Aguirre, Natham 1 Bartier, Jean-Philippe 1 Bizoń, Piotr 1 Carrillo de la Plata, José Antonio 1 Chipot, Michel 1 Crespin, Benoit 1 Dávila, Juan 1 Dávila, Juan Diego 1 Dunajski, Maciej 1 Fife, Paul C. 1 Fusco, Giorgio 1 Heath, David C. 1 Illner, Reinhard 1 Jara-Schulz, Gladys 1 Kahl, Michał 1 Laurençot, Philippe 1 Lisini, Stefano 1 da Silva Montenegro, Marcelo 1 Perthame, Benoît 1 Rybka, Piotr 1 Van Den Bosch, Hanne 1 Vauchelet, Nicolas 1 Vidal-Henriquez, Estefania 1 Yang, Jun all top 5 Serials 4 Journal of Functional Analysis 4 Calculus of Variations and Partial Differential Equations 4 Séminaire Laurent Schwartz. EDP et Applications 3 Archive for Rational Mechanics and Analysis 3 Communications in Partial Differential Equations 3 SIAM Journal on Mathematical Analysis 2 Communications on Pure and Applied Mathematics 2 Duke Mathematical Journal 2 Indiana University Mathematics Journal 2 Journal of Differential Equations 2 Chinese Annals of Mathematics. Series B 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Nonlinear Science 2 Discrete and Continuous Dynamical Systems 2 Communications in Contemporary Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Letters in Mathematical Physics 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Revista de la Unión Matemática Argentina 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the National Academy of Sciences of the United States of America 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Advances in Differential Equations 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Annals of PDE all top 5 Fields 71 Partial differential equations (35-XX) 11 Biology and other natural sciences (92-XX) 8 Operator theory (47-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Probability theory and stochastic processes (60-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 3 Fluid mechanics (76-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Ordinary differential equations (34-XX) 1 Measure and integration (28-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 65 Publications have been cited 1,260 times in 760 Documents Cited by ▼ Year ▼ Singular limits in Liouville-type equations. Zbl 1088.35067 del Pino, Manuel; Kowalczyk, Michal; Musso, Monica 144 2005 On De Giorgi’s conjecture in dimension \(N\geq 9\). Zbl 1238.35019 Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng 136 2011 Concentration on curves for nonlinear Schrödinger equations. Zbl 1123.35003 Del Pino, Manuel; Kowalczyk, Michal; Wei, Jun-Cheng 107 2007 Kink dynamics in the \(\phi^4\) model: asymptotic stability for odd perturbations in the energy space. Zbl 1387.35419 Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio 66 2017 Multiple-end solutions to the Allen-Cahn equation in \(\mathbb R^2\). Zbl 1203.35108 del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank; Wei, Juncheng 55 2010 Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces of finite total curvature in \(\mathbb{R}^3\). Zbl 1275.53015 del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng 35 2013 The Toda system and multiple-end solutions of autonomous planar elliptic problems. Zbl 1197.35114 del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank; Wei, Juncheng 34 2010 Nonexistence of small, odd breathers for a class of nonlinear wave equations. Zbl 1384.35109 Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio 34 2017 The Toda system and clustering interfaces in the Allen-Cahn equation. Zbl 1163.35017 Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng 33 2008 Multiple spike layers in the shadow Gierer-Meinhardt system: Existence of equilibria and the quasi-invariant manifold. Zbl 0962.35063 Kowalczyk, Michał 29 1999 Interface foliation near minimal submanifolds in Riemannian manifolds with positive Ricci curvature. Zbl 1213.35219 del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng; Yang, Jun 28 2010 On the existence and Morse index of solutions to the Allen-Cahn equation in two dimensions. Zbl 1150.35035 Kowalczyk, Michal 27 2005 A hybrid variational principle for the Keller-Segel system in \(\mathbb{R}^{2}\). Zbl 1334.35086 Blanchet, Adrien; Carrillo, José Antonio; Kinderlehrer, David; Kowalczyk, Michał; Laurençot, Philippe; Lisini, Stefano 26 2015 The Gierer \(\&\) Meinhardt system: The breaking of homoclinics and multi-bump ground states. Zbl 1003.34025 del Pino, Manuel; Kowalczyk, Michał; Chen, Xinfu 25 2001 Multi-bump ground states of the Gierer-Meinhardt system in \(\mathbb R^2\). (Fondamentales multi-pics du système de Gierer-Meinhardt dans \(\mathbb R^2\).) Zbl 1114.35065 del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng 24 2003 Traveling waves with multiple and nonconvex fronts for a bistable semilinear parabolic equation. Zbl 1307.35149 Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng 24 2013 Minimality and nondegeneracy of degree-one Ginzburg-Landau vortex as a Hardy’s type inequality. Zbl 1112.35055 Del Pino, Manuel; Felmer, Patricio; Kowalczyk, Michał 22 2004 A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models. Zbl 1469.35150 Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio; Van Den Bosch, Hanne 21 2021 Variational reduction for Ginzburg-Landau vortices. Zbl 1387.35561 del Pino, Manuel; Kowalczyk, Michał; Musso, Monica 20 2006 Moduli space theory for the Allen-Cahn equation in the plane. Zbl 1286.35018 Del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank 20 2013 Nondegeneracy of the saddle solution of the Allen-Cahn equation. Zbl 1241.35079 Kowalczyk, Michał; Liu, Yong 17 2011 The space of 4-ended solutions to the Allen-Cahn equation in the plane. Zbl 1254.35219 Kowalczyk, Michał; Liu, Yong; Pacard, Frank 17 2012 Sharp interpolation inequalities on the sphere: new methods and consequences. Zbl 1263.26029 Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michal; Loss, Michael 17 2013 A counterexample to a conjecture by De Giorgi in large dimensions. Zbl 1161.35023 del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng 16 2008 Existence of equilibria for the Cahn-Hilliard equation via local minimizers of the perimeter. Zbl 0863.35009 Chen, Xinfu; Kowalczyk, Michał 14 1996 Resonance and interior layers in an inhomogeneous phase transition model. Zbl 1229.35076 del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng 13 2007 Diffusion-mediated transport and the flashing ratchet. Zbl 1065.76183 Kinderlehrer, David; Kowalczyk, Michał 13 2002 End-to-end construction for the Allen-Cahn equation in the plane. Zbl 1311.35115 Kowalczyk, Michał; Liu, Yong; Pacard, Frank; Wei, Juncheng 13 2015 A variational principle for molecular motors. Zbl 1032.92005 Chipot, Michel; Kinderlehrer, David; Kowalczyk, Michal 12 2003 Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes. Zbl 1486.35122 Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio 12 2022 The classification of four-end solutions to the Allen-Cahn equation on the plane. Zbl 1287.35031 Kowalczyk, Michał; Liu, Yong; Pacard, Frank 12 2013 Dynamics of an interior spike in the Gierer-Meinhardt system. Zbl 0993.35012 Chen, Xinfu; Kowalczyk, Michał 11 2001 Critical points of a singular perturbation problem via reduced energy and local linking. Zbl 0942.35078 Alikakos, Nicholas; Kowalczyk, Michał 11 1999 Improved interpolation inequalities on the sphere. Zbl 1290.26022 Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michał; Loss, Michael 11 2014 Stochastic Stokes’ drift, homogenized functional inequalities, and large time behavior of Brownian ratchets. Zbl 1196.26023 Blanchet, Adrien; Dolbeault, Jean; Kowalczyk, Micha 10 2009 Boundary spikes in the Gierer-Meinhardt system. Zbl 1163.35354 del Pino, Manuel; Felmer, Patricio; Kowalczyk, Michał 9 2002 Remarks about the flashing rachet. Zbl 1064.35065 Dolbeault, Jean; Kinderlehrer, David; Kowalczyk, Michał 9 2004 Finite dimensional dynamics and interfaces intersecting the boundary: Equilibria and quasi-invariant manifold. Zbl 0893.35051 Alikakos, Nicholas D.; Fusco, Giorgio; Kowalszyk, Michał 9 1996 Renormalized energy of interacting Ginzburg-Landau vortex filaments. Zbl 1148.35027 del Pino, Manuel; Kowalczyk, Michal 8 2008 Critical points of the regular part of the harmonic Green function with Robin boundary condition. Zbl 1159.35020 Dávila, Juan; Kowalczyk, Michał; Montenegro, Marcelo 8 2008 Theory of light-matter interaction in nematic liquid crystals and the second Painlevé equation. Zbl 1376.35022 Clerc, Marcel G.; Dávila, Juan Diego; Kowalczyk, Michał; Smyrnelis, Panayotis; Vidal-Henriquez, Estefania 8 2017 On asymptotic stability of nonlinear waves. Zbl 1475.35415 Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio 8 2017 The Jacobi-Toda system and foliated interfaces. Zbl 1193.35057 del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng 8 2010 Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line. Zbl 1504.35068 Jendrej, Jacek; Kowalczyk, Michał; Lawrie, Andrew 8 2022 On De Giorgi’s conjecture and beyond. Zbl 1309.35035 Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng 8 2012 Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system. Zbl 1032.35025 Chen, Xinfu; Kowalczyk, Michał 7 2001 A qualitative study of linear drift-diffusion equations with time-dependent or degenerate coefficients. Zbl 1117.35030 Bartier, Jean-Philippe; Dolbeault, Jean; Illner, Reinhard; Kowalczyk, Michał 6 2007 On a conjecture by De Giorgi in dimensions 9 and higher. Zbl 1231.35024 Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng 6 2010 A class of pattern-forming models. Zbl 0938.35071 Fife, P. C.; Kowalczyk, M. 5 1999 Discrete and continuous ratchets: From coin toss to molecular motor. Zbl 1009.35037 Heath, David; Kinderlehrer, David; Kowalczyk, Michał 5 2002 Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities, and spectral estimates. Zbl 1397.35109 Dolbeault, Jean; Kowalczyk, Michał 4 2017 The Janossy effect and hybrid variational principles. Zbl 1154.35369 Kinderlehrer, David; Kowalczyk, Michał 4 2009 Singly periodic solutions of the Allen-Cahn equation and the Toda lattice. Zbl 1321.35054 Kowalczyk, Michał; Liu, Yong; Wei, Juncheng 4 2015 Symmetry breaking and restoration in the Ginzburg-Landau model of nematic liquid crystals. Zbl 1395.35010 Clerc, Marcel G.; Kowalczyk, Michał; Smyrnelis, Panayotis 4 2018 Exponentially slow dynamics and interfaces intersecting the boundary. Zbl 0892.35081 Kowalczyk, Michał 3 1997 Rotationally symmetric solutions to the Cahn-Hilliard equation. Zbl 1354.35048 Kowalczyk, Michał; Hernández, Álvaro 3 2017 Maximal solution of the Liouville equation in doubly connected domains. Zbl 1497.35159 Kowalczyk, Michał; Pistoia, Angela; Vaira, Giusi 3 2019 Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces. Zbl 1196.53012 del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng 3 2009 Towards classification of multiple-end solutions to the Allen-Cahn equation in \(\mathbb{R}^2\). Zbl 1262.35011 Kowalczyk, Michał; Liu, Yong; Pacard, Frank 3 2012 Nonlinear Schrödinger equations: concentration on weighted geodesics in the semi-classical limit. Zbl 1076.35041 del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng 2 2005 Gradient theory of domain walls in thin, nematic liquid crystals films. Zbl 1453.35065 Clerc, Marcel G.; Kowalczyk, Michał; Smyrnelis, Panayotis 2 2020 Transversal instability for the thermodiffusive reaction-diffusion system. Zbl 1328.35097 Kowalczyk, Michal; Perthame, Benoît; Vauchelet, Nicolas 1 2015 Sharp interpolation inequalities on the sphere: new methods and consequences. Zbl 1329.35021 Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michal; Loss, Michael 1 2014 Doubling construction for \(O ( m ) \times O ( n )\) invariant solutions to the Allen-Cahn equation. Zbl 1481.35226 Agudelo, Oscar; Kowalczyk, Michał; Rizzi, Matteo 1 2022 The connecting solution of the Painlevé phase transition model. Zbl 1471.35155 Clerc, Marcel G.; Kowalczyk, Michal; Smyrnelis, Panayotis 1 2020 Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes. Zbl 1486.35122 Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio 12 2022 Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line. Zbl 1504.35068 Jendrej, Jacek; Kowalczyk, Michał; Lawrie, Andrew 8 2022 Doubling construction for \(O ( m ) \times O ( n )\) invariant solutions to the Allen-Cahn equation. Zbl 1481.35226 Agudelo, Oscar; Kowalczyk, Michał; Rizzi, Matteo 1 2022 A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models. Zbl 1469.35150 Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio; Van Den Bosch, Hanne 21 2021 Gradient theory of domain walls in thin, nematic liquid crystals films. Zbl 1453.35065 Clerc, Marcel G.; Kowalczyk, Michał; Smyrnelis, Panayotis 2 2020 The connecting solution of the Painlevé phase transition model. Zbl 1471.35155 Clerc, Marcel G.; Kowalczyk, Michal; Smyrnelis, Panayotis 1 2020 Maximal solution of the Liouville equation in doubly connected domains. Zbl 1497.35159 Kowalczyk, Michał; Pistoia, Angela; Vaira, Giusi 3 2019 Symmetry breaking and restoration in the Ginzburg-Landau model of nematic liquid crystals. Zbl 1395.35010 Clerc, Marcel G.; Kowalczyk, Michał; Smyrnelis, Panayotis 4 2018 Kink dynamics in the \(\phi^4\) model: asymptotic stability for odd perturbations in the energy space. Zbl 1387.35419 Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio 66 2017 Nonexistence of small, odd breathers for a class of nonlinear wave equations. Zbl 1384.35109 Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio 34 2017 Theory of light-matter interaction in nematic liquid crystals and the second Painlevé equation. Zbl 1376.35022 Clerc, Marcel G.; Dávila, Juan Diego; Kowalczyk, Michał; Smyrnelis, Panayotis; Vidal-Henriquez, Estefania 8 2017 On asymptotic stability of nonlinear waves. Zbl 1475.35415 Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio 8 2017 Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities, and spectral estimates. Zbl 1397.35109 Dolbeault, Jean; Kowalczyk, Michał 4 2017 Rotationally symmetric solutions to the Cahn-Hilliard equation. Zbl 1354.35048 Kowalczyk, Michał; Hernández, Álvaro 3 2017 A hybrid variational principle for the Keller-Segel system in \(\mathbb{R}^{2}\). Zbl 1334.35086 Blanchet, Adrien; Carrillo, José Antonio; Kinderlehrer, David; Kowalczyk, Michał; Laurençot, Philippe; Lisini, Stefano 26 2015 End-to-end construction for the Allen-Cahn equation in the plane. Zbl 1311.35115 Kowalczyk, Michał; Liu, Yong; Pacard, Frank; Wei, Juncheng 13 2015 Singly periodic solutions of the Allen-Cahn equation and the Toda lattice. Zbl 1321.35054 Kowalczyk, Michał; Liu, Yong; Wei, Juncheng 4 2015 Transversal instability for the thermodiffusive reaction-diffusion system. Zbl 1328.35097 Kowalczyk, Michal; Perthame, Benoît; Vauchelet, Nicolas 1 2015 Improved interpolation inequalities on the sphere. Zbl 1290.26022 Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michał; Loss, Michael 11 2014 Sharp interpolation inequalities on the sphere: new methods and consequences. Zbl 1329.35021 Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michal; Loss, Michael 1 2014 Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces of finite total curvature in \(\mathbb{R}^3\). Zbl 1275.53015 del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng 35 2013 Traveling waves with multiple and nonconvex fronts for a bistable semilinear parabolic equation. Zbl 1307.35149 Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng 24 2013 Moduli space theory for the Allen-Cahn equation in the plane. Zbl 1286.35018 Del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank 20 2013 Sharp interpolation inequalities on the sphere: new methods and consequences. Zbl 1263.26029 Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michal; Loss, Michael 17 2013 The classification of four-end solutions to the Allen-Cahn equation on the plane. Zbl 1287.35031 Kowalczyk, Michał; Liu, Yong; Pacard, Frank 12 2013 The space of 4-ended solutions to the Allen-Cahn equation in the plane. Zbl 1254.35219 Kowalczyk, Michał; Liu, Yong; Pacard, Frank 17 2012 On De Giorgi’s conjecture and beyond. Zbl 1309.35035 Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng 8 2012 Towards classification of multiple-end solutions to the Allen-Cahn equation in \(\mathbb{R}^2\). Zbl 1262.35011 Kowalczyk, Michał; Liu, Yong; Pacard, Frank 3 2012 On De Giorgi’s conjecture in dimension \(N\geq 9\). Zbl 1238.35019 Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng 136 2011 Nondegeneracy of the saddle solution of the Allen-Cahn equation. Zbl 1241.35079 Kowalczyk, Michał; Liu, Yong 17 2011 Multiple-end solutions to the Allen-Cahn equation in \(\mathbb R^2\). Zbl 1203.35108 del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank; Wei, Juncheng 55 2010 The Toda system and multiple-end solutions of autonomous planar elliptic problems. Zbl 1197.35114 del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank; Wei, Juncheng 34 2010 Interface foliation near minimal submanifolds in Riemannian manifolds with positive Ricci curvature. Zbl 1213.35219 del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng; Yang, Jun 28 2010 The Jacobi-Toda system and foliated interfaces. Zbl 1193.35057 del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng 8 2010 On a conjecture by De Giorgi in dimensions 9 and higher. Zbl 1231.35024 Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng 6 2010 Stochastic Stokes’ drift, homogenized functional inequalities, and large time behavior of Brownian ratchets. Zbl 1196.26023 Blanchet, Adrien; Dolbeault, Jean; Kowalczyk, Micha 10 2009 The Janossy effect and hybrid variational principles. Zbl 1154.35369 Kinderlehrer, David; Kowalczyk, Michał 4 2009 Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces. Zbl 1196.53012 del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng 3 2009 The Toda system and clustering interfaces in the Allen-Cahn equation. Zbl 1163.35017 Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng 33 2008 A counterexample to a conjecture by De Giorgi in large dimensions. Zbl 1161.35023 del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng 16 2008 Renormalized energy of interacting Ginzburg-Landau vortex filaments. Zbl 1148.35027 del Pino, Manuel; Kowalczyk, Michal 8 2008 Critical points of the regular part of the harmonic Green function with Robin boundary condition. Zbl 1159.35020 Dávila, Juan; Kowalczyk, Michał; Montenegro, Marcelo 8 2008 Concentration on curves for nonlinear Schrödinger equations. Zbl 1123.35003 Del Pino, Manuel; Kowalczyk, Michal; Wei, Jun-Cheng 107 2007 Resonance and interior layers in an inhomogeneous phase transition model. Zbl 1229.35076 del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng 13 2007 A qualitative study of linear drift-diffusion equations with time-dependent or degenerate coefficients. Zbl 1117.35030 Bartier, Jean-Philippe; Dolbeault, Jean; Illner, Reinhard; Kowalczyk, Michał 6 2007 Variational reduction for Ginzburg-Landau vortices. Zbl 1387.35561 del Pino, Manuel; Kowalczyk, Michał; Musso, Monica 20 2006 Singular limits in Liouville-type equations. Zbl 1088.35067 del Pino, Manuel; Kowalczyk, Michal; Musso, Monica 144 2005 On the existence and Morse index of solutions to the Allen-Cahn equation in two dimensions. Zbl 1150.35035 Kowalczyk, Michal 27 2005 Nonlinear Schrödinger equations: concentration on weighted geodesics in the semi-classical limit. Zbl 1076.35041 del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng 2 2005 Minimality and nondegeneracy of degree-one Ginzburg-Landau vortex as a Hardy’s type inequality. Zbl 1112.35055 Del Pino, Manuel; Felmer, Patricio; Kowalczyk, Michał 22 2004 Remarks about the flashing rachet. Zbl 1064.35065 Dolbeault, Jean; Kinderlehrer, David; Kowalczyk, Michał 9 2004 Multi-bump ground states of the Gierer-Meinhardt system in \(\mathbb R^2\). (Fondamentales multi-pics du système de Gierer-Meinhardt dans \(\mathbb R^2\).) Zbl 1114.35065 del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng 24 2003 A variational principle for molecular motors. Zbl 1032.92005 Chipot, Michel; Kinderlehrer, David; Kowalczyk, Michal 12 2003 Diffusion-mediated transport and the flashing ratchet. Zbl 1065.76183 Kinderlehrer, David; Kowalczyk, Michał 13 2002 Boundary spikes in the Gierer-Meinhardt system. Zbl 1163.35354 del Pino, Manuel; Felmer, Patricio; Kowalczyk, Michał 9 2002 Discrete and continuous ratchets: From coin toss to molecular motor. Zbl 1009.35037 Heath, David; Kinderlehrer, David; Kowalczyk, Michał 5 2002 The Gierer \(\&\) Meinhardt system: The breaking of homoclinics and multi-bump ground states. Zbl 1003.34025 del Pino, Manuel; Kowalczyk, Michał; Chen, Xinfu 25 2001 Dynamics of an interior spike in the Gierer-Meinhardt system. Zbl 0993.35012 Chen, Xinfu; Kowalczyk, Michał 11 2001 Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system. Zbl 1032.35025 Chen, Xinfu; Kowalczyk, Michał 7 2001 Multiple spike layers in the shadow Gierer-Meinhardt system: Existence of equilibria and the quasi-invariant manifold. Zbl 0962.35063 Kowalczyk, Michał 29 1999 Critical points of a singular perturbation problem via reduced energy and local linking. Zbl 0942.35078 Alikakos, Nicholas; Kowalczyk, Michał 11 1999 A class of pattern-forming models. Zbl 0938.35071 Fife, P. C.; Kowalczyk, M. 5 1999 Exponentially slow dynamics and interfaces intersecting the boundary. Zbl 0892.35081 Kowalczyk, Michał 3 1997 Existence of equilibria for the Cahn-Hilliard equation via local minimizers of the perimeter. Zbl 0863.35009 Chen, Xinfu; Kowalczyk, Michał 14 1996 Finite dimensional dynamics and interfaces intersecting the boundary: Equilibria and quasi-invariant manifold. Zbl 0893.35051 Alikakos, Nicholas D.; Fusco, Giorgio; Kowalszyk, Michał 9 1996 all cited Publications top 5 cited Publications all top 5 Cited by 691 Authors 104 Wei, Juncheng 41 Del Pino, Manuel A. 40 Kowalczyk, Michał 32 Musso, Monica 24 Pistoia, Angela 22 Muñoz, Claudio 21 Yang, Jun 19 Dolbeault, Jean 17 Bartolucci, Daniele 17 Liu, Yong 15 Malchiodi, Andrea 13 Gui, Changfeng 13 Wang, Kelei 13 Yang, Wen 12 Dávila, Juan 12 Pacard, Frank 12 Sourdis, Christos 12 Winter, Matthias 11 Baraket, Sami 11 Esteban, Maria J. 11 Sire, Yannick 11 Valdinoci, Enrico 10 Ao, Weiwei 10 D’Aprile, Teresa 10 Esposito, Pierpaolo 10 Lin, Chang-Shou 9 Bates, Peter W. 9 Fazly, Mostafa 9 Fusco, Giorgio 9 Grossi, Massimo 9 Mahmoudi, Fethi 9 Yang, Haitao 8 Deng, Shengbing 8 Du, Zhuoran 8 Hamel, François 8 Jevnikar, Aleks Yang Wen 8 Loss, Michael 8 Maeda, Masaya 8 Wei, Suting 8 Zhang, Yibin 7 Bonheure, Denis 7 Figueroa, Pablo 7 Sheng, WeiJie 7 Wang, Liping 7 Zhao, Chunyi 6 Cuccagna, Scipio 6 Dipierro, Serena 6 Jerrard, Robert Leon 6 Kolokolnikov, Theodore 6 da Silva Montenegro, Marcelo 6 Rizzi, Matteo 6 Smyrnelis, Panayotis 6 Ward, Michael J. 6 Zinsl, Jonathan 5 Agudelo, Oscar Mauricio 5 Alikakos, Nicholas D. 5 An, Xiaoming 5 Bartsch, Thomas J. 5 Byeon, Jaeyoung 5 Chen, Xinfu 5 Farina, Alberto 5 Jendrej, Jacek 5 Karali, Georgia D. 5 Lee, Youngae 5 Martel, Yvan 5 Montecchiari, Piero 5 Ouni, Taieb 5 Pacherie, Eliot 5 Palacios, José Manuel 5 Pusateri, Fabio 5 Tanaka, Kazunaga 5 Trabelsi, Nihed 5 Vaira, Giusi 5 Valdebenito, Darío A. 5 Wang, Jun 4 Alejo, Miguel A. 4 Alessio, Francesca G. 4 Battaglia, Luca 4 Chang, Yibin 4 Duan, Lipeng 4 Lührmann, Jonas 4 Mandel, Rainer 4 Mantoulidis, Christos 4 Perthame, Benoît 4 Poláčik, Peter 4 Ponce, Gustavo 4 Ren, Xiaofeng 4 Santambrogio, Filippo 4 Santra, Sanjiban 4 Souganidis, Panagiotis E. 4 Wang, Zhi Cheng 4 Ye, Dong 4 Zheng, Youquan 3 Bazarbacha, Imen 3 Berestycki, Henri 3 Cabré, Xavier 3 Carrillo de la Plata, José Antonio 3 Chan, Hardy 3 Chen, Gong 3 Chiron, David ...and 591 more Authors all top 5 Cited in 166 Serials 72 Journal of Differential Equations 53 Calculus of Variations and Partial Differential Equations 37 Discrete and Continuous Dynamical Systems 30 Journal of Functional Analysis 29 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 25 Archive for Rational Mechanics and Analysis 21 Communications in Partial Differential Equations 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 NoDEA. Nonlinear Differential Equations and Applications 15 SIAM Journal on Mathematical Analysis 14 Journal of Mathematical Analysis and Applications 12 Communications in Mathematical Physics 12 Proceedings of the American Mathematical Society 12 Communications on Pure and Applied Analysis 11 Advances in Mathematics 11 Transactions of the American Mathematical Society 10 Nonlinearity 10 Communications in Contemporary Mathematics 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Physica D 8 Journal of the European Mathematical Society (JEMS) 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Communications on Pure and Applied Mathematics 7 Journal of Dynamics and Differential Equations 7 Séminaire Laurent Schwartz. EDP et Applications 6 Applicable Analysis 6 Journal of Mathematical Physics 6 Revista Matemática Iberoamericana 6 Applied Mathematics Letters 6 Journal of Scientific Computing 6 SIAM Journal on Applied Mathematics 6 Discrete and Continuous Dynamical Systems. Series S 5 Duke Mathematical Journal 5 Mathematische Annalen 5 The Journal of Geometric Analysis 5 Advanced Nonlinear Studies 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Journal of Computational Physics 4 Inventiones Mathematicae 4 Proceedings of the London Mathematical Society. Third Series 4 Chinese Annals of Mathematics. Series B 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Geometric and Functional Analysis. GAFA 4 Journal of Nonlinear Science 4 Milan Journal of Mathematics 4 Boundary Value Problems 4 Electronic Research Archive 4 SN Partial Differential Equations and Applications 3 Journal d’Analyse Mathématique 3 Mathematical Methods in the Applied Sciences 3 Journal of the London Mathematical Society. Second Series 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Zeitschrift 3 Asymptotic Analysis 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of Fixed Point Theory and Applications 3 Advances in Calculus of Variations 3 Mathematics in Engineering 2 Physica A 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Quarterly of Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Publicacions Matemàtiques 2 European Journal of Applied Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Potential Analysis 2 Topological Methods in Nonlinear Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Discrete and Continuous Dynamical Systems. Series B 2 Advances in Difference Equations 2 Oberwolfach Reports 2 Complex Variables and Elliptic Equations 2 Frontiers of Mathematics in China 2 Analysis & PDE 2 Science China. Mathematics 2 Bulletin of Mathematical Sciences 2 Advances in Nonlinear Analysis 2 Annals of PDE 2 Bulletin of the Hellenic Mathematical Society 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Canadian Mathematical Bulletin 1 Glasgow Mathematical Journal ...and 66 more Serials all top 5 Cited in 37 Fields 691 Partial differential equations (35-XX) 66 Global analysis, analysis on manifolds (58-XX) 60 Differential geometry (53-XX) 58 Dynamical systems and ergodic theory (37-XX) 50 Biology and other natural sciences (92-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 42 Fluid mechanics (76-XX) 34 Ordinary differential equations (34-XX) 30 Operator theory (47-XX) 29 Statistical mechanics, structure of matter (82-XX) 24 Numerical analysis (65-XX) 17 Functional analysis (46-XX) 14 Quantum theory (81-XX) 13 Real functions (26-XX) 13 Probability theory and stochastic processes (60-XX) 11 Mechanics of deformable solids (74-XX) 6 Integral equations (45-XX) 5 Functions of a complex variable (30-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Mechanics of particles and systems (70-XX) 4 Special functions (33-XX) 3 General and overarching topics; collections (00-XX) 3 Optics, electromagnetic theory (78-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Difference and functional equations (39-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year