## Kowalczyk, Michał

Compute Distance To:
 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: 73 Publications since 1996 1 Further Contribution Co-Authors: 46 Co-Authors with 69 Joint Publications 1,576 Co-Co-Authors
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### 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 5 Clerc, Marcel G. 5 Martel, Yvan 5 Muñoz, Claudio 5 Smyrnelis, Panayotis 4 Chen, Xinfu 3 Esteban, Maria J. 3 Loss, Michael 2 Alikakos, Nicholas D. 2 Blanchet, Adrien 2 Felmer, Patricio L. 2 Hernández, Álvaro 2 Musso, Monica 2 Pistoia, Angela 2 Rizzi, Matteo 2 Vaira, Giusi 1 Agudelo, Oscar Mauricio 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 Jendrej, Jacek 1 Kahl, Michał 1 Lamy, Xavier 1 Laurençot, Philippe 1 Lawrie, Andrew G. W. 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
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### Serials

 4 Journal of Functional Analysis 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 3 Calculus of Variations and Partial Differential Equations 2 Communications on Pure and Applied Mathematics 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 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Duke Mathematical Journal 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
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### Fields

 68 Partial differential equations (35-XX) 11 Biology and other natural sciences (92-XX) 8 Operator theory (47-XX) 6 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 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)

### Citations contained in zbMATH Open

62 Publications have been cited 1,036 times in 649 Documents Cited by Year
Singular limits in Liouville-type equations. Zbl 1088.35067
del Pino, Manuel; Kowalczyk, Michal; Musso, Monica
2005
On De Giorgi’s conjecture in dimension $$N\geq 9$$. Zbl 1238.35019
Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2011
Concentration on curves for nonlinear Schrödinger equations. Zbl 1123.35003
Del Pino, Manuel; Kowalczyk, Michal; Wei, Jun-Cheng
2007
Multiple-end solutions to the Allen-Cahn equation in $$\mathbb R^2$$. Zbl 1203.35108
del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank; Wei, Juncheng
2010
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
2017
The Toda system and multiple-end solutions of autonomous planar elliptic problems. Zbl 1197.35114
del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank; Wei, Juncheng
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
2013
Multiple spike layers in the shadow Gierer-Meinhardt system: Existence of equilibria and the quasi-invariant manifold. Zbl 0962.35063
Kowalczyk, Michał
1999
The Toda system and clustering interfaces in the Allen-Cahn equation. Zbl 1163.35017
Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2008
Traveling waves with multiple and nonconvex fronts for a bistable semilinear parabolic equation. Zbl 1307.35149
Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2013
On the existence and Morse index of solutions to the Allen-Cahn equation in two dimensions. Zbl 1150.35035
Kowalczyk, Michal
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
2015
The Gierer $$\&$$ Meinhardt system: The breaking of homoclinics and multi-bump ground states. Zbl 1003.34025
del Pino, Manuel; Kowalczyk, Michał; Chen, Xinfu
2001
Interface foliation near minimal submanifolds in Riemannian manifolds with positive Ricci curvature. Zbl 1213.35219
del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng; Yang, Jun
2010
Nonexistence of small, odd breathers for a class of nonlinear wave equations. Zbl 1384.35109
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
2017
Moduli space theory for the Allen-Cahn equation in the plane. Zbl 1286.35018
Del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank
2013
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
2003
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
2004
The space of 4-ended solutions to the Allen-Cahn equation in the plane. Zbl 1254.35219
Kowalczyk, Michał; Liu, Yong; Pacard, Frank
2012
Sharp interpolation inequalities on the sphere: new methods and consequences. Zbl 1263.26029
Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michal; Loss, Michael
2013
A counterexample to a conjecture by De Giorgi in large dimensions. Zbl 1161.35023
del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2008
Variational reduction for Ginzburg-Landau vortices. Zbl 1387.35561
del Pino, Manuel; Kowalczyk, Michał; Musso, Monica
2006
Nondegeneracy of the saddle solution of the Allen-Cahn equation. Zbl 1241.35079
Kowalczyk, Michał; Liu, Yong
2011
Diffusion-mediated transport and the flashing ratchet. Zbl 1065.76183
Kinderlehrer, David; Kowalczyk, Michał
2002
Existence of equilibria for the Cahn-Hilliard equation via local minimizers of the perimeter. Zbl 0863.35009
Chen, Xinfu; Kowalczyk, Michał
1996
Resonance and interior layers in an inhomogeneous phase transition model. Zbl 1229.35076
del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2007
A variational principle for molecular motors. Zbl 1032.92005
Chipot, Michel; Kinderlehrer, David; Kowalczyk, Michal
2003
Critical points of a singular perturbation problem via reduced energy and local linking. Zbl 0942.35078
Alikakos, Nicholas; Kowalczyk, Michał
1999
Dynamics of an interior spike in the Gierer-Meinhardt system. Zbl 0993.35012
Chen, Xinfu; Kowalczyk, Michał
2001
Improved interpolation inequalities on the sphere. Zbl 1290.26022
Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michał; Loss, Michael
2014
The classification of four-end solutions to the Allen-Cahn equation on the plane. Zbl 1287.35031
Kowalczyk, Michał; Liu, Yong; Pacard, Frank
2013
End-to-end construction for the Allen-Cahn equation in the plane. Zbl 1311.35115
Kowalczyk, Michał; Liu, Yong; Pacard, Frank; Wei, Juncheng
2015
Remarks about the flashing rachet. Zbl 1064.35065
Dolbeault, Jean; Kinderlehrer, David; Kowalczyk, Michał
2004
Stochastic Stokes’ drift, homogenized functional inequalities, and large time behavior of Brownian ratchets. Zbl 1196.26023
Blanchet, Adrien; Dolbeault, Jean; Kowalczyk, Micha
2009
Finite dimensional dynamics and interfaces intersecting the boundary: Equilibria and quasi-invariant manifold. Zbl 0893.35051
Alikakos, Nicholas D.; Fusco, Giorgio; Kowalszyk, Michał
1996
The Jacobi-Toda system and foliated interfaces. Zbl 1193.35057
del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
2010
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
2017
Boundary spikes in the Gierer-Meinhardt system. Zbl 1163.35354
del Pino, Manuel; Felmer, Patricio; Kowalczyk, Michał
2002
Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system. Zbl 1032.35025
Chen, Xinfu; Kowalczyk, Michał
2001
On De Giorgi’s conjecture and beyond. Zbl 1309.35035
Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
2012
Critical points of the regular part of the harmonic Green function with Robin boundary condition. Zbl 1159.35020
Dávila, Juan; Kowalczyk, Michał; Montenegro, Marcelo
2008
On a conjecture by De Giorgi in dimensions 9 and higher. Zbl 1231.35024
Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
2010
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
2007
Renormalized energy of interacting Ginzburg-Landau vortex filaments. Zbl 1148.35027
del Pino, Manuel; Kowalczyk, Michal
2008
Discrete and continuous ratchets: From coin toss to molecular motor. Zbl 1009.35037
Heath, David; Kinderlehrer, David; Kowalczyk, Michał
2002
Singly periodic solutions of the Allen-Cahn equation and the Toda lattice. Zbl 1321.35054
Kowalczyk, Michał; Liu, Yong; Wei, Juncheng
2015
A class of pattern-forming models. Zbl 0938.35071
Fife, P. C.; Kowalczyk, M.
1999
The Janossy effect and hybrid variational principles. Zbl 1154.35369
Kinderlehrer, David; Kowalczyk, Michał
2009
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
2021
Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities, and spectral estimates. Zbl 1397.35109
Dolbeault, Jean; Kowalczyk, Michał
2017
Symmetry breaking and restoration in the Ginzburg-Landau model of nematic liquid crystals. Zbl 1395.35010
Clerc, Marcel G.; Kowalczyk, Michał; Smyrnelis, Panayotis
2018
Exponentially slow dynamics and interfaces intersecting the boundary. Zbl 0892.35081
Kowalczyk, Michał
1997
Rotationally symmetric solutions to the Cahn-Hilliard equation. Zbl 1354.35048
Kowalczyk, Michał; Hernández, Álvaro
2017
Nonlinear Schrödinger equations: concentration on weighted geodesics in the semi-classical limit. Zbl 1076.35041
del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2005
Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces. Zbl 1196.53012
del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
2009
Gradient theory of domain walls in thin, nematic liquid crystals films. Zbl 1453.35065
Clerc, Marcel G.; Kowalczyk, Michał; Smyrnelis, Panayotis
2020
Maximal solution of the Liouville equation in doubly connected domains. Zbl 07104050
Kowalczyk, Michał; Pistoia, Angela; Vaira, Giusi
2019
Transversal instability for the thermodiffusive reaction-diffusion system. Zbl 1328.35097
Kowalczyk, Michal; Perthame, Benoît; Vauchelet, Nicolas
2015
Towards classification of multiple-end solutions to the Allen-Cahn equation in $$\mathbb{R}^2$$. Zbl 1262.35011
Kowalczyk, Michał; Liu, Yong; Pacard, Frank
2012
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
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
2022
The connecting solution of the Painlevé phase transition model. Zbl 1471.35155
Clerc, Marcel G.; Kowalczyk, Michal; Smyrnelis, Panayotis
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
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
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
2021
Gradient theory of domain walls in thin, nematic liquid crystals films. Zbl 1453.35065
Clerc, Marcel G.; Kowalczyk, Michał; Smyrnelis, Panayotis
2020
The connecting solution of the Painlevé phase transition model. Zbl 1471.35155
Clerc, Marcel G.; Kowalczyk, Michal; Smyrnelis, Panayotis
2020
Maximal solution of the Liouville equation in doubly connected domains. Zbl 07104050
Kowalczyk, Michał; Pistoia, Angela; Vaira, Giusi
2019
Symmetry breaking and restoration in the Ginzburg-Landau model of nematic liquid crystals. Zbl 1395.35010
Clerc, Marcel G.; Kowalczyk, Michał; Smyrnelis, Panayotis
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
2017
Nonexistence of small, odd breathers for a class of nonlinear wave equations. Zbl 1384.35109
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
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
2017
Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities, and spectral estimates. Zbl 1397.35109
Dolbeault, Jean; Kowalczyk, Michał
2017
Rotationally symmetric solutions to the Cahn-Hilliard equation. Zbl 1354.35048
Kowalczyk, Michał; Hernández, Álvaro
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
2015
End-to-end construction for the Allen-Cahn equation in the plane. Zbl 1311.35115
Kowalczyk, Michał; Liu, Yong; Pacard, Frank; Wei, Juncheng
2015
Singly periodic solutions of the Allen-Cahn equation and the Toda lattice. Zbl 1321.35054
Kowalczyk, Michał; Liu, Yong; Wei, Juncheng
2015
Transversal instability for the thermodiffusive reaction-diffusion system. Zbl 1328.35097
Kowalczyk, Michal; Perthame, Benoît; Vauchelet, Nicolas
2015
Improved interpolation inequalities on the sphere. Zbl 1290.26022
Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michał; Loss, Michael
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
2013
Traveling waves with multiple and nonconvex fronts for a bistable semilinear parabolic equation. Zbl 1307.35149
Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2013
Moduli space theory for the Allen-Cahn equation in the plane. Zbl 1286.35018
Del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank
2013
Sharp interpolation inequalities on the sphere: new methods and consequences. Zbl 1263.26029
Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michal; Loss, Michael
2013
The classification of four-end solutions to the Allen-Cahn equation on the plane. Zbl 1287.35031
Kowalczyk, Michał; Liu, Yong; Pacard, Frank
2013
The space of 4-ended solutions to the Allen-Cahn equation in the plane. Zbl 1254.35219
Kowalczyk, Michał; Liu, Yong; Pacard, Frank
2012
On De Giorgi’s conjecture and beyond. Zbl 1309.35035
Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
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
2012
On De Giorgi’s conjecture in dimension $$N\geq 9$$. Zbl 1238.35019
Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2011
Nondegeneracy of the saddle solution of the Allen-Cahn equation. Zbl 1241.35079
Kowalczyk, Michał; Liu, Yong
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
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
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
2010
The Jacobi-Toda system and foliated interfaces. Zbl 1193.35057
del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
2010
On a conjecture by De Giorgi in dimensions 9 and higher. Zbl 1231.35024
Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
2010
Stochastic Stokes’ drift, homogenized functional inequalities, and large time behavior of Brownian ratchets. Zbl 1196.26023
Blanchet, Adrien; Dolbeault, Jean; Kowalczyk, Micha
2009
The Janossy effect and hybrid variational principles. Zbl 1154.35369
Kinderlehrer, David; Kowalczyk, Michał
2009
Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces. Zbl 1196.53012
del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
2009
The Toda system and clustering interfaces in the Allen-Cahn equation. Zbl 1163.35017
Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2008
A counterexample to a conjecture by De Giorgi in large dimensions. Zbl 1161.35023
del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
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
2008
Renormalized energy of interacting Ginzburg-Landau vortex filaments. Zbl 1148.35027
del Pino, Manuel; Kowalczyk, Michal
2008
Concentration on curves for nonlinear Schrödinger equations. Zbl 1123.35003
Del Pino, Manuel; Kowalczyk, Michal; Wei, Jun-Cheng
2007
Resonance and interior layers in an inhomogeneous phase transition model. Zbl 1229.35076
del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
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
2007
Variational reduction for Ginzburg-Landau vortices. Zbl 1387.35561
del Pino, Manuel; Kowalczyk, Michał; Musso, Monica
2006
Singular limits in Liouville-type equations. Zbl 1088.35067
del Pino, Manuel; Kowalczyk, Michal; Musso, Monica
2005
On the existence and Morse index of solutions to the Allen-Cahn equation in two dimensions. Zbl 1150.35035
Kowalczyk, Michal
2005
Nonlinear Schrödinger equations: concentration on weighted geodesics in the semi-classical limit. Zbl 1076.35041
del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
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
2004
Remarks about the flashing rachet. Zbl 1064.35065
Dolbeault, Jean; Kinderlehrer, David; Kowalczyk, Michał
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
2003
A variational principle for molecular motors. Zbl 1032.92005
Chipot, Michel; Kinderlehrer, David; Kowalczyk, Michal
2003
Diffusion-mediated transport and the flashing ratchet. Zbl 1065.76183
Kinderlehrer, David; Kowalczyk, Michał
2002
Boundary spikes in the Gierer-Meinhardt system. Zbl 1163.35354
del Pino, Manuel; Felmer, Patricio; Kowalczyk, Michał
2002
Discrete and continuous ratchets: From coin toss to molecular motor. Zbl 1009.35037
Heath, David; Kinderlehrer, David; Kowalczyk, Michał
2002
The Gierer $$\&$$ Meinhardt system: The breaking of homoclinics and multi-bump ground states. Zbl 1003.34025
del Pino, Manuel; Kowalczyk, Michał; Chen, Xinfu
2001
Dynamics of an interior spike in the Gierer-Meinhardt system. Zbl 0993.35012
Chen, Xinfu; Kowalczyk, Michał
2001
Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system. Zbl 1032.35025
Chen, Xinfu; Kowalczyk, Michał
2001
Multiple spike layers in the shadow Gierer-Meinhardt system: Existence of equilibria and the quasi-invariant manifold. Zbl 0962.35063
Kowalczyk, Michał
1999
Critical points of a singular perturbation problem via reduced energy and local linking. Zbl 0942.35078
Alikakos, Nicholas; Kowalczyk, Michał
1999
A class of pattern-forming models. Zbl 0938.35071
Fife, P. C.; Kowalczyk, M.
1999
Exponentially slow dynamics and interfaces intersecting the boundary. Zbl 0892.35081
Kowalczyk, Michał
1997
Existence of equilibria for the Cahn-Hilliard equation via local minimizers of the perimeter. Zbl 0863.35009
Chen, Xinfu; Kowalczyk, Michał
1996
Finite dimensional dynamics and interfaces intersecting the boundary: Equilibria and quasi-invariant manifold. Zbl 0893.35051
Alikakos, Nicholas D.; Fusco, Giorgio; Kowalszyk, Michał
1996
all top 5

### Cited by 580 Authors

 99 Wei, Juncheng 37 Del Pino, Manuel A. 37 Kowalczyk, Michał 32 Musso, Monica 23 Pistoia, Angela 21 Muñoz, Claudio 18 Dolbeault, Jean 16 Bartolucci, Daniele 16 Liu, Yong 14 Malchiodi, Andrea 12 Gui, Changfeng 12 Pacard, Frank 12 Sourdis, Christos 12 Winter, Matthias 12 Yang, Wen 11 Esteban, Maria J. 11 Wang, Kelei 10 Baraket, Sami 10 Dávila, Juan 10 Esposito, Pierpaolo 10 Lin, Chang-Shou 10 Sire, Yannick 10 Valdinoci, Enrico 9 Ao, Weiwei 9 Bates, Peter W. 9 Grossi, Massimo 9 Mahmoudi, Fethi 9 Yang, Haitao 8 D’Aprile, Teresa 8 Deng, Shengbing 8 Fazly, Mostafa 8 Hamel, François 8 Loss, Michael 7 Bonheure, Denis 7 Sheng, WeiJie 7 Wei, Suting 7 Zhang, Yibin 6 Du, Zhuoran 6 Figueroa, Pablo 6 Fusco, Giorgio 6 Jerrard, Robert Leon 6 Jevnikar, Aleks 6 da Silva Montenegro, Marcelo 6 Rizzi, Matteo 6 Smyrnelis, Panayotis 6 Wang, Liping 6 Ward, Michael J. 6 Zhao, Chunyi 6 Zinsl, Jonathan 5 Agudelo, Oscar Mauricio 5 Bartsch, Thomas J. 5 Byeon, Jaeyoung 5 Chen, Xinfu 5 Dipierro, Serena 5 Farina, Alberto 5 Karali, Georgia D. 5 Kolokolnikov, Theodore 5 Lee, Youngae 5 Ouni, Taieb 5 Tanaka, Kazunaga 5 Wang, Jun 5 Yang, Jun 4 Alessio, Francesca G. 4 An, Xiaoming 4 Battaglia, Luca 4 Chang, Yibin 4 Duan, Lipeng 4 Maeda, Masaya 4 Mandel, Rainer 4 Martel, Yvan 4 Montecchiari, Piero 4 Perthame, Benoît 4 Ponce, Gustavo 4 Ren, Xiaofeng 4 Santra, Sanjiban 4 Souganidis, Panagiotis E. 4 Trabelsi, Nihed 4 Vaira, Giusi 4 Wang, Zhi Cheng 4 Ye, Dong 3 Alejo, Miguel A. 3 Alikakos, Nicholas D. 3 Bazarbacha, Imen 3 Cabré, Xavier 3 Carrillo de la Plata, José Antonio 3 Chan, Hardy 3 Clerc, Marcel G. 3 Cuccagna, Scipio 3 Gebhard, Björn 3 Gladiali, Francesca 3 Guo, Hongjun 3 Jendrej, Jacek 3 Kwak, Chulkwang 3 Laptev, Ari 3 Lin, Taichia 3 Liu, Chun 3 Mashkin, Timur 3 Mendez, Argenis J. 3 Poblete, Felipe 3 Pozo, Juan Carlos ...and 480 more Authors
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### Cited in 150 Serials

 65 Journal of Differential Equations 47 Calculus of Variations and Partial Differential Equations 34 Discrete and Continuous Dynamical Systems 29 Journal of Functional Analysis 24 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 23 Archive for Rational Mechanics and Analysis 21 Communications in Partial Differential Equations 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 SIAM Journal on Mathematical Analysis 14 NoDEA. Nonlinear Differential Equations and Applications 12 Journal of Mathematical Analysis and Applications 11 Proceedings of the American Mathematical Society 11 Transactions of the American Mathematical Society 9 Advances in Mathematics 9 Communications on Pure and Applied Analysis 8 Communications in Mathematical Physics 8 Physica D 8 Communications in Contemporary Mathematics 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Nonlinearity 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Journal of the European Mathematical Society (JEMS) 7 Séminaire Laurent Schwartz. EDP et Applications 6 Communications on Pure and Applied Mathematics 6 Applied Mathematics Letters 6 SIAM Journal on Applied Mathematics 5 Applicable Analysis 5 Journal of Mathematical Physics 5 Mathematische Annalen 5 Revista Matemática Iberoamericana 5 Journal of Scientific Computing 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Computational Physics 4 Inventiones Mathematicae 4 Chinese Annals of Mathematics. Series B 4 The Journal of Geometric Analysis 4 Journal of Nonlinear Science 4 Advanced Nonlinear Studies 4 Milan Journal of Mathematics 3 Journal d’Analyse Mathématique 3 Duke Mathematical Journal 3 Mathematische Zeitschrift 3 Proceedings of the London Mathematical Society. Third Series 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Geometric and Functional Analysis. GAFA 3 Boundary Value Problems 3 Journal of Fixed Point Theory and Applications 3 Advances in Calculus of Variations 3 SN Partial Differential Equations and Applications 2 Physica A 2 Journal of the London Mathematical Society. Second Series 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 SIAM Journal on Numerical Analysis 2 Asymptotic Analysis 2 Japan Journal of Industrial and Applied Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Dynamics and Differential Equations 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Potential Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Advances in Difference Equations 2 Complex Variables and Elliptic Equations 2 Frontiers of Mathematics in China 2 Science China. Mathematics 2 Advances in Nonlinear Analysis 2 Electronic Research Archive 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 Methods in the Applied Sciences 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 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 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Geometry 1 Journal of the Mathematical Society of Japan 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Studies in Applied Mathematics 1 Tokyo Journal of Mathematics 1 Ergodic Theory and Dynamical Systems 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae ...and 50 more Serials
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### Cited in 33 Fields

 587 Partial differential equations (35-XX) 61 Global analysis, analysis on manifolds (58-XX) 51 Differential geometry (53-XX) 47 Biology and other natural sciences (92-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 42 Dynamical systems and ergodic theory (37-XX) 37 Fluid mechanics (76-XX) 33 Ordinary differential equations (34-XX) 28 Operator theory (47-XX) 28 Statistical mechanics, structure of matter (82-XX) 22 Numerical analysis (65-XX) 16 Functional analysis (46-XX) 14 Quantum theory (81-XX) 12 Real functions (26-XX) 8 Probability theory and stochastic processes (60-XX) 8 Mechanics of deformable solids (74-XX) 6 Integral equations (45-XX) 5 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-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)