Frank Pacard

Applied Mathematics · 2000–2015

A researcher in the Science corpus: 18 papers; trusts 32 researchers and is trusted by 27 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 87 citations into it; #490 of 7,620 by trust here, #542 by citations
• Computational Theory and Mathematics — 45 citations into it; #6,139 of 12,182 by trust here, #4,850 by citations
• Geometry and Topology — 38 citations into it; #654 of 7,422 by trust here, #706 by citations
• Mathematical Physics — 30 citations into it; #7,561 of 8,562 by trust here, #4,500 by citations
• Numerical Analysis — 10 citations into it
• Materials Chemistry — 5 citations into it

Whom Frank Pacard trusts overall

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

1. Simon Donaldson
2. T. Mabuchi
3. M. Kowalczyk
4. Xiuxiong Chen
5. Ahmad El Soufi
6. Luis Caffarelli
7. A. Malchiodi
8. Olivier Druet
9. Manuel del Pino
10. Martin T. Barlow

Who trusts Frank Pacard overall

1. Manuel del Pino
2. G'abor Sz'ekelyhidi
3. Jun-cheng Wei
4. M. Kowalczyk
5. Sylvia Serfaty
6. S. Nardulli
7. Rafe Mazzeo
8. Abdellah Lahdili
9. Xiuxiong Chen
10. Yanyan Li

Papers from Frank Pacard's perspective

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

1. Scalar Curvature and Stability of Toric Varieties
2. Stability of extremal Kahler manifolds
3. One-dimensional symmetry of bounded entire solutions of some elliptic equations
4. Entire solutions of semilinear elliptic equations in R^3 and a conjecture of De Giorgi
5. THE STATE OF THE ART FOR A CONJECTURE OF DE GIORGI AND RELATED PROBLEMS
6. Foliations by constant mean curvature tubes
7. On interacting bumps of semi-classical states of nonlinear Schrödinger equations (Advances in Differential Equations)
8. Multidimensional boundary layers for a singularly perturbed Neumann problem
9. An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, I
10. Lower bounds on the Calabi functional

Their papers

• MULTIPLE-END SOLUTIONS TO THE ALLEN-CAHN EQUATION IN R2 (2010) — 103 citations
• On an overdetermined elliptic problem (2011) — 58 citations
• Extremal domains for the first eigenvalue of the Laplace-Beltrami operator (2009) — 51 citations
• Constant mean curvature spheres in Riemannian manifolds (2009) — 88 citations
• Free boundary minimal surfaces in the unit 3-ball (2015) — 66 citations
• Torus action on S^n and sign changing solutions for conformally invariant equations (2013) — 85 citations
• Serrin’s overdetermined problem and constant mean curvature surfaces (2013) — 64 citations
• Stable solutions of the Allen–Cahn equation in dimension 8 and minimal cones (2011) — 61 citations
• Large energy entire solutions for the yamabe equation (2011) — 133 citations
• The toda system and multiple-end solutions of autonomous planar elliptic problems (2007) — 69 citations
• Constant curvature foliations in asymptotically hyperbolic spaces (2007) — 51 citations
• Extremal metrics on blowups (2006) — 75 citations
• Singular limits for a 4-dimensional semilinear elliptic problem with exponential nonlinearity (2006) — 49 citations
• Blowing up Kähler manifolds with constant scalar curvature, II (2005) — 88 citations
• Blowing up and desingularizing constant scalar curvature Kähler manifolds (2004) — 137 citations
• Foliations by constant mean curvature tubes (2003) — 65 citations
• From Constant mean Curvature Hypersurfaces to the Gradient Theory of Phase Transitions (2003) — 176 citations
• Linear and Nonlinear Aspects of Vortices (2000) — 145 citations