Multiple-end solutions to the Allen-Cahn equation in $Bbb R2$
Del Pino M; Kowalczyk M; Pacard F; Wei J; J. Funct. Anal. 258 (2) pp.458-503. (2010)

The Toda system and multiple-end solutions of autonomous planar elliptic problems
Del Pino M; Kowalczyk M; Pacard F andWei J. Advances in Mathematics 224(4) pp. 1462-1516. (2010)

Interface foliations of a positively curved manifold near a closed
Del Pino M; Kowalczyk M; Wei J; Yang J; Geometric and Functional Analysis (GAFA), 20(4), pp. 918-957. (2010)

The Janossy Effect and Hybrid Variational principles
Kinderlehrer D; Kowalczyk M; Discrete and Continous Dynamical System vol. 11, pp. 153-176. (2009)

Stochastic stokes' drift, homogenized functional inequalities, and Large Time Behavior of Brownian Ratchets
Blanchet A; Dolbeault J; Kowalczyk M; SIAM J. on Mathematical Analysis 41(1), pp. 46-76. (2009)

Renormalized energy of interacting Ginzburg-Landau vortex filaments
Del Pino M; Kowalczyk M; J. London Mathematical Society, pp. 1-19. (2008)

A counterexample to a conjecture by De Giorgi in Large dimensions

Del Pino ; Kowalczyk M; Wie J; Comptes Rendus Mathematique, vol.346(23-24), pp. 1261-1266. (2008)

Critical points of the regular part of the harmonic green function with Robin boundary condition
Dávila J; Kowalczyk M; Montenegro M; J. Funct. Anal., vol. 255, pp. 1057-1101. (2008)

The Toda System and Clustering Interfaces in the Allen–Cahn equation
Del Pino M; Kowalczyk M; Wei J; Arch. Rational Mech. Anal. 190, pp. 141–187. (2008)

Travelling fronts in stochastic Stoke's drifts
Blanchet A; Dolbeault J; Kowalczyk M; Physica A 387, pp. 5741-5751. (2008)

A qualitative study of linear drift diffusion equations with time dependent or degenerate coefficients
J.P.Bartier, J. Dolbeaut, R. Illner, Kowalczyk M; Math. Mod, and Meth. Appl. Sc. Vol. 17(3), pp. 01-36. (2007)

Concentration on Curves for Nonlinear Schrödinger Equation
Del Pino M; M. Kowalczyk, J. Wei. Comm. Pure and Appl. Math. 60, pp. 113-146. (2007)

Variational reduction for Ginzburg-Landau vortices
Del Pino M; M. Kowalczyk, Musso M; J. Funct. Anal. Vol. 239(2), pp. 497-541. (2006)

Resonance and interior layers in an inhomogeneous phases transition model
Del Pino M; M. Kowalczyk, J. Wei. SIAM J. Math. Anal. 38, nordm; 5, pp. 1542-1564. (2006/2007)

Nonlinear Schrödinger equations: concentration on weighted geodesics in the semi-classical limit
Del Pino M; M. Kowalczyk, J. Wei.Partial Differential Equation. Vol. 1(341), pp. 223-228. (2005)

Singular limits in Liouville-type equations
Del Pino M; Kowalczyk M; Musso M; Calc. Var. Partial Differential Equations 24, no. 1, pp. 47-81. (2005)

On the existence and Morse index of solutions to the Allen-Cahn equation in two dimensions
Kowalczyk M; Ann. Mat. Pura Appl. (4) 184, no. 1, pp. 17-52. (2005)

Approximate invariant manifold of the Allen-Cahn flow in two dimensions
Kowalczyk M; Partial differential equations and inverse problems, pp. 233-239. (2004)

Remarks about the flashing rachet
Dolbeault, Jean; Kinderlehrer, David; Kowalczyk M; Partial differential equations and inverse problems, pp. 167-175. (2004)

Minimality and nondegeneracy of degree-one Ginzburg-Landau vortex as a Hardy’s type inequality
Del Pino M; Felmer P; Kowalczyk M; Int. Math. Res. Not. 2004, no. 30, pp. 1511-1527. (2004)

A variational principle for molecular motors Dedicated to Piero Villaggio on the occasion of his 70th birthday
Chipot, Michel; Kinderlehrer, David; Kowalczyk M; Meccanica 38, no. 5, pp. 505-518. (2003)

Multi-bump ground states of the Gierer-Meinhardt system in $Bbb Rsp 2$
Del Pino M; Kowalczyk M; Wei J; Ann. Inst. H. Poincaré Anal. Non Linéaire 20 , no.1, pp. 53-85. (2003)

Boundary spikes in the Gierer-Meinhardt system Commun
Del Pino M; Felmer P; Kowalczyk M; Pure Appl. Anal. 1, no. 4, pp. 437-456. (2002)

Discrete and continuous ratchets: from coin toss to molecular motor
Heath, David; Kinderlehrer, David; Kowalczyk M; Discrete Contin. Dyn. Syst. Ser. B 2, no. 2, pp. 153-167. (2002)

Diffusion-mediated transport and the flashing ratchet
Kinderlehrer, David; Kowalczyk M; Arch. Ration. Mech. Anal. 161, no. 2, pp. 149-179. (2002)

Dynamics of an interior spike in the Gierer-Meinhardt system
Chen, Xinfu; Kowalczyk M; SIAM J. Math. Anal. 33, no. 1, pp. 172-193 (2001)

The Gierer & Meinhardt system: the breaking of homoclinics and multi-bump ground states
Del Pino M; Kowalczyk M; Chen, Xinfu. Commun. Contemp. Math. 3, no. 3, pp. 419-439. (2001)

Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system
Chen, Xinfu; Kowalczyk M; Adv. Differential Equations 6, no. 7, pp. 847-872. (2001)

Remarks about diffusion mediated transport
Kinderlehrer, David; Kowalczyk M; Contributions in honor of the memory of Ennio De Giorgi (Italian). Ricerche Mat. 49 , suppl., pp. 305-318. (2000)

Critical points of a singular perturbation problem via reduced energy and local linking
Alikakos, Nicholas; Kowalczyk M; J. Differential Equations 159, no. 2, pp. 403-426. (1999)

A class of pattern-forming models
Fife, P. C; Kowalczyk M; J. Nonlinear Sci. 9 , no. 6, pp. 641-669. (1999)

Multiple spike layers in the shadow Gierer-Meinhardt system: existence of equilibria and the quasi-invariant manifold
Kowalczyk M; Duke Math. J. 98, no. 1, pp. 59-111. (1999)

Exponentially slow dynamics and interfaces intersecting the boundary
Kowalczyk M; J. Differential Equations 138, no. 1, pp. 55-85. (1997)

Finite-dimensional dynamics and interfaces intersecting the boundary: equilibria and quasi-invariant manifold
Alikakos ND; Fusco G; Kowalczyk M; Indiana Univ. Math. J. 45, no. 4, pp. 1119-1155. (1996)

Existence of equilibria for the Cahn-Hilliard equation via local minimizers of the perimeter
Chen, Xinfu; Kowalczyk M; Comm. Partial Differential Equations 21, no. 7-8, pp. 1207-1233. (1996)