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Author ID: kowalczyk.michal Recent zbMATH articles by "Kowalczyk, Michał"
Published as: Kowalczyk, Michał; Kowalczyk, Michal; Kowalczyk, M.; Kowalszyk, Michał; Kowalczyk, Micha
Homepage: https://www.cmm.uchile.cl/?cmm_people=michal-kowalczyk
External Links: MGP · ORCID · ResearchGate · dblp
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

Publications by Year

Citations contained in zbMATH Open

66 Publications have been cited 1,321 times in 786 Documents Cited by Year
Singular limits in Liouville-type equations. Zbl 1088.35067
del Pino, Manuel; Kowalczyk, Michal; Musso, Monica
147
2005
On De Giorgi’s conjecture in dimension \(N\geq 9\). Zbl 1238.35019
Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
140
2011
Concentration on curves for nonlinear Schrödinger equations. Zbl 1123.35003
Del Pino, Manuel; Kowalczyk, Michal; Wei, Jun-Cheng
119
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
67
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
57
2010
Nonexistence of small, odd breathers for a class of nonlinear wave equations. Zbl 1384.35109
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
38
2017
The Toda system and clustering interfaces in the Allen-Cahn equation. Zbl 1163.35017
Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
37
2008
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
37
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
36
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
30
2010
Multiple spike layers in the shadow Gierer-Meinhardt system: Existence of equilibria and the quasi-invariant manifold. Zbl 0962.35063
Kowalczyk, Michał
29
1999
On the existence and Morse index of solutions to the Allen-Cahn equation in two dimensions. Zbl 1150.35035
Kowalczyk, Michal
28
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
27
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
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
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
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
23
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
22
2021
Variational reduction for Ginzburg-Landau vortices. Zbl 1387.35561
del Pino, Manuel; Kowalczyk, Michał; Musso, Monica
21
2006
Moduli space theory for the Allen-Cahn equation in the plane. Zbl 1286.35018
Del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank
21
2013
The space of 4-ended solutions to the Allen-Cahn equation in the plane. Zbl 1254.35219
Kowalczyk, Michał; Liu, Yong; Pacard, Frank
18
2012
Nondegeneracy of the saddle solution of the Allen-Cahn equation. Zbl 1241.35079
Kowalczyk, Michał; Liu, Yong
17
2011
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
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
15
2022
Diffusion-mediated transport and the flashing ratchet. Zbl 1065.76183
Kinderlehrer, David; Kowalczyk, Michał
14
2002
Resonance and interior layers in an inhomogeneous phase transition model. Zbl 1229.35076
del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
14
2007
End-to-end construction for the Allen-Cahn equation in the plane. Zbl 1311.35115
Kowalczyk, Michał; Liu, Yong; Pacard, Frank; Wei, Juncheng
14
2015
Existence of equilibria for the Cahn-Hilliard equation via local minimizers of the perimeter. Zbl 0863.35009
Chen, Xinfu; Kowalczyk, Michał
14
1996
On asymptotic stability of nonlinear waves. Zbl 1475.35415
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
14
2017
The classification of four-end solutions to the Allen-Cahn equation on the plane. Zbl 1287.35031
Kowalczyk, Michał; Liu, Yong; Pacard, Frank
13
2013
A variational principle for molecular motors. Zbl 1032.92005
Chipot, Michel; Kinderlehrer, David; Kowalczyk, Michal
12
2003
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
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
Remarks about the flashing rachet. Zbl 1064.35065
Dolbeault, Jean; Kinderlehrer, David; Kowalczyk, Michał
9
2004
Boundary spikes in the Gierer-Meinhardt system. Zbl 1163.35354
del Pino, Manuel; Felmer, Patricio; Kowalczyk, Michał
9
2002
Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line. Zbl 1504.35068
Jendrej, Jacek; Kowalczyk, Michał; Lawrie, Andrew
9
2022
The Jacobi-Toda system and foliated interfaces. Zbl 1193.35057
del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
8
2010
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
On De Giorgi’s conjecture and beyond. Zbl 1309.35035
Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
8
2012
Renormalized energy of interacting Ginzburg-Landau vortex filaments. Zbl 1148.35027
del Pino, Manuel; Kowalczyk, Michal
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
Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system. Zbl 1032.35025
Chen, Xinfu; Kowalczyk, Michał
7
2001
On a conjecture by De Giorgi in dimensions 9 and higher. Zbl 1231.35024
Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
6
2010
Discrete and continuous ratchets: From coin toss to molecular motor. Zbl 1009.35037
Heath, David; Kinderlehrer, David; Kowalczyk, Michał
6
2002
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
A class of pattern-forming models. Zbl 0938.35071
Fife, P. C.; Kowalczyk, M.
5
1999
Singly periodic solutions of the Allen-Cahn equation and the Toda lattice. Zbl 1321.35054
Kowalczyk, Michał; Liu, Yong; Wei, Juncheng
5
2015
The Janossy effect and hybrid variational principles. Zbl 1154.35369
Kinderlehrer, David; Kowalczyk, Michał
4
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
4
2012
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
Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities, and spectral estimates. Zbl 1397.35109
Dolbeault, Jean; Kowalczyk, Michał
4
2017
Exponentially slow dynamics and interfaces intersecting the boundary. Zbl 0892.35081
Kowalczyk, Michał
3
1997
Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces. Zbl 1196.53012
del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
3
2009
Maximal solution of the Liouville equation in doubly connected domains. Zbl 1497.35159
Kowalczyk, Michał; Pistoia, Angela; Vaira, Giusi
3
2019
Rotationally symmetric solutions to the Cahn-Hilliard equation. Zbl 1354.35048
Kowalczyk, Michał; Hernández, Álvaro
3
2017
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
The connecting solution of the Painlevé phase transition model. Zbl 1471.35155
Clerc, Marcel G.; Kowalczyk, Michal; Smyrnelis, Panayotis
1
2020
Free boundary problems arising in the theory of maximal solutions of equations with exponential nonlinearities. Zbl 1475.35421
Kowalczyk, Michał; Pistoia, Angela; Rybka, Piotr; Vaira, Giusi
1
2018
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
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
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
15
2022
Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line. Zbl 1504.35068
Jendrej, Jacek; Kowalczyk, Michał; Lawrie, Andrew
9
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
22
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
Free boundary problems arising in the theory of maximal solutions of equations with exponential nonlinearities. Zbl 1475.35421
Kowalczyk, Michał; Pistoia, Angela; Rybka, Piotr; Vaira, Giusi
1
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
67
2017
Nonexistence of small, odd breathers for a class of nonlinear wave equations. Zbl 1384.35109
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
38
2017
On asymptotic stability of nonlinear waves. Zbl 1475.35415
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio
14
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
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
27
2015
End-to-end construction for the Allen-Cahn equation in the plane. Zbl 1311.35115
Kowalczyk, Michał; Liu, Yong; Pacard, Frank; Wei, Juncheng
14
2015
Singly periodic solutions of the Allen-Cahn equation and the Toda lattice. Zbl 1321.35054
Kowalczyk, Michał; Liu, Yong; Wei, Juncheng
5
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
37
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
21
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
13
2013
The space of 4-ended solutions to the Allen-Cahn equation in the plane. Zbl 1254.35219
Kowalczyk, Michał; Liu, Yong; Pacard, Frank
18
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
4
2012
On De Giorgi’s conjecture in dimension \(N\geq 9\). Zbl 1238.35019
Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
140
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
57
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
36
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
30
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
37
2008
A counterexample to a conjecture by De Giorgi in large dimensions. Zbl 1161.35023
del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
16
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
Renormalized energy of interacting Ginzburg-Landau vortex filaments. Zbl 1148.35027
del Pino, Manuel; Kowalczyk, Michal
8
2008
Concentration on curves for nonlinear Schrödinger equations. Zbl 1123.35003
Del Pino, Manuel; Kowalczyk, Michal; Wei, Jun-Cheng
119
2007
Resonance and interior layers in an inhomogeneous phase transition model. Zbl 1229.35076
del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
14
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
21
2006
Singular limits in Liouville-type equations. Zbl 1088.35067
del Pino, Manuel; Kowalczyk, Michal; Musso, Monica
147
2005
On the existence and Morse index of solutions to the Allen-Cahn equation in two dimensions. Zbl 1150.35035
Kowalczyk, Michal
28
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
23
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
14
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
6
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 top 5

Cited by 721 Authors

111 Wei, Juncheng
43 Del Pino, Manuel A.
41 Kowalczyk, Michał
34 Musso, Monica
24 Pistoia, Angela
22 Muñoz, Claudio
21 Yang, Jun
19 Dolbeault, Jean
17 Bartolucci, Daniele
17 Liu, Yong
15 Malchiodi, Andrea
14 Gui, Changfeng
14 Wang, Kelei
14 Yang, Wen
13 Dávila, Juan
12 Pacard, Frank
12 Sourdis, Christos
12 Winter, Matthias
11 Baraket, Sami
11 D’Aprile, Teresa
11 Esteban, Maria J.
11 Sire, Yannick
11 Valdinoci, Enrico
10 Ao, Weiwei
10 Esposito, Pierpaolo
10 Lin, Chang-Shou
10 Mahmoudi, Fethi
9 Bates, Peter W.
9 Deng, Shengbing
9 Fazly, Mostafa
9 Fusco, Giorgio
9 Grossi, Massimo
9 Yang, Haitao
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 Alikakos, Nicholas D.
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 Wang, Jun
6 Ward, Michael J.
6 Zinsl, Jonathan
5 Agudelo, Oscar Mauricio
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 Lührmann, Jonas
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.
4 Alejo, Miguel A.
4 Alessio, Francesca G.
4 Battaglia, Luca
4 Chang, Yibin
4 Duan, Lipeng
4 Hu, Yeyao
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 Zhang, Fubao
4 Zhang, Lei
4 Zheng, Youquan
4 Zhou, Yifu
3 Bazarbacha, Imen
3 Berestycki, Henri
3 Cabré, Xavier
...and 621 more Authors
all top 5

Cited in 169 Serials

74 Journal of Differential Equations
53 Calculus of Variations and Partial Differential Equations
39 Discrete and Continuous Dynamical Systems
32 Journal of Functional Analysis
30 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
26 Archive for Rational Mechanics and Analysis
21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
21 Communications in Partial Differential Equations
17 Journal de Mathématiques Pures et Appliquées. Neuvième Série
16 NoDEA. Nonlinear Differential Equations and Applications
15 Journal of Mathematical Analysis and Applications
15 SIAM Journal on Mathematical Analysis
12 Communications in Mathematical Physics
12 Proceedings of the American Mathematical Society
12 Communications on Pure and Applied Analysis
11 Communications on Pure and Applied Mathematics
11 Advances in Mathematics
11 Transactions of the American Mathematical Society
10 Nonlinearity
10 Communications in Contemporary Mathematics
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Physica D
8 Journal of the European Mathematical Society (JEMS)
7 Journal of Mathematical Physics
7 Journal of Dynamics and Differential Equations
7 Séminaire Laurent Schwartz. EDP et Applications
6 Applicable Analysis
6 Revista Matemática Iberoamericana
6 Applied Mathematics Letters
6 Journal of Scientific Computing
6 The Journal of Geometric Analysis
6 SIAM Journal on Applied Mathematics
6 Discrete and Continuous Dynamical Systems. Series S
5 Duke Mathematical Journal
5 Mathematische Annalen
5 Proceedings of the London Mathematical Society. Third Series
5 Advanced Nonlinear Studies
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4 Journal of Computational Physics
4 Mathematical Methods in the Applied Sciences
4 Inventiones Mathematicae
4 Journal für die Reine und Angewandte Mathematik
4 Chinese Annals of Mathematics. Series B
4 Asymptotic Analysis
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 Physica A
3 Journal of the London Mathematical Society. Second Series
3 Mathematische Zeitschrift
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 Indiana University Mathematics Journal
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 Physics Letters. A
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
...and 69 more Serials
all top 5

Cited in 37 Fields

714 Partial differential equations (35-XX)
67 Global analysis, analysis on manifolds (58-XX)
62 Differential geometry (53-XX)
58 Dynamical systems and ergodic theory (37-XX)
51 Calculus of variations and optimal control; optimization (49-XX)
50 Biology and other natural sciences (92-XX)
45 Fluid mechanics (76-XX)
33 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)
17 Quantum theory (81-XX)
15 Probability theory and stochastic processes (60-XX)
14 Real functions (26-XX)
11 Mechanics of deformable solids (74-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Integral equations (45-XX)
5 Functions of a complex variable (30-XX)
5 Mechanics of particles and systems (70-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Special functions (33-XX)
3 General and overarching topics; collections (00-XX)
3 Optics, electromagnetic theory (78-XX)
2 Difference and functional equations (39-XX)
2 Computer science (68-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 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