M. Kowalczyk

Applied Mathematics · 2001–2015

A researcher in the Science corpus: 11 papers; trusts 26 researchers and is trusted by 15 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 71 citations into it; #1,134 of 7,620 by trust here, #685 by citations
• Computational Theory and Mathematics — 46 citations into it; #1,801 of 12,182 by trust here, #1,587 by citations
• Numerical Analysis — 28 citations into it
• Mathematical Physics — 27 citations into it; #2,322 of 8,562 by trust here, #1,776 by citations
• Geometry and Topology — 14 citations into it; #4,880 of 7,422 by trust here, #2,832 by citations
• Statistical and Nonlinear Physics — 12 citations into it

Whom M. Kowalczyk trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. A. Malchiodi
2. Manuel del Pino
3. Frank Pacard
4. F. Merle
5. Yvan Martel
6. Jun-cheng Wei
7. M. Goldberg
8. Marcelo Montenegro
9. Manuel Ritor'e
10. Pierre Raphael

Who trusts M. Kowalczyk overall

1. Manuel del Pino
2. Jun-cheng Wei
3. Frank Pacard
4. A. Malchiodi
5. Carmen Cortázar
6. Jaeyoung Byeon
7. Monica Musso
8. Yanyan Li
9. Manuel Ritor'e
10. P. Esposito

Papers from M. Kowalczyk's perspective

Ordered by how strongly the researchers M. Kowalczyk trusts endorse each paper. Same corpus, a different order for every researcher.

1. On interacting bumps of semi-classical states of nonlinear Schrödinger equations (Advances in Differential Equations)
2. Topological degree for a mean field equation on Riemann surfaces
3. Foliations by constant mean curvature tubes
4. Multidimensional boundary layers for a singularly perturbed Neumann problem
5. The Liouville Equation with Singular Data: A Concentration-Compactness Principle via a Local Representation Formula☆
6. Entire solutions of semilinear elliptic equations in R^3 and a conjecture of De Giorgi
7. On the existence and Morse index of solutions to the Allen-Cahn equation in two dimensions
8. On the number of single-peak solutions of the nonlinear Schrödinger equation
9. Boundary concentration phenomena for a singularly perturbed elliptic problem
10. Stable and finite Morse index solutions on Rn or on bounded domains with small diffusion, II

Their papers

• Concentration on curves for nonlinear Schrödinger Equations (2007) — 198 citations
• The Toda System and Clustering Interfaces in the Allen–Cahn equation (2008) — 77 citations
• Singular limits in Liouville-type equations (2005) — 241 citations
• On De Giorgi's conjecture in dimension N>9 (2011) — 314 citations
• On the existence and Morse index of solutions to the Allen-Cahn equation in two dimensions (2005) — 66 citations
• MULTIPLE-END SOLUTIONS TO THE ALLEN-CAHN EQUATION IN R2 (2010) — 103 citations
• Interface Foliation near Minimal Submanifolds in Riemannian Manifolds with Positive Ricci Curvature (2010) — 67 citations
• Kink dynamics in the $\phi^4$ model: asymptotic stability for odd perturbations in the energy space (2015) — 133 citations
• Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces. (2009) — 108 citations
• The toda system and multiple-end solutions of autonomous planar elliptic problems (2007) — 69 citations
• THE GIERER & MEINHARDT SYSTEM: THE BREAKING OF HOMOCLINICS AND MULTI-BUMP GROUND STATES (2001) — 48 citations