Louis Dupaigne

Applied Mathematics · 2002–2015

A researcher in the Science corpus: 14 papers; trusts 20 researchers and is trusted by 35 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 64 citations into it; #744 of 7,620 by trust here, #427 by citations
• Computational Theory and Mathematics — 51 citations into it; #1,522 of 12,182 by trust here, #1,212 by citations
• Mathematical Physics — 22 citations into it; #3,238 of 8,562 by trust here, #1,610 by citations
• Control and Systems Engineering — 12 citations into it; #4,926 of 8,257 by trust here, #2,692 by citations
• Numerical Analysis — 11 citations into it

Whom Louis Dupaigne trusts overall

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

1. Juan Luis V'azquez
2. Marius Ghergu
3. Luis Silvestre
4. Philippe Souplet
5. Vicentiu D. Rădulescu
6. Peter Poláčik
7. X. Cabré
8. Alberto Farina
9. J. D'avila
10. Yanyan Li

Who trusts Louis Dupaigne overall

1. Mostafa Fazly
2. M. Fall
3. J. D'avila
4. X. Cabré
5. Leszek Gasinski
6. Xavier Ros-Oton
7. Jérôme Coville
8. Jun-cheng Wei
9. Jorge García-Melián
10. Wenxian Shen

Papers from Louis Dupaigne's perspective

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

1. Regularity of the obstacle problem for a fractional power of the laplace operator
2. Positive solutions of nonlinear problems involving the square root of the Laplacian
3. Remark on some conformally invariant integral equations: the method of moving spheres
4. Sublinear singular elliptic problems with two parameters
5. Existence and optimal estimates of solutions for singular nonlinear Dirichlet problems
6. An Introduction to Sobolev Spaces and Interpolation Spaces
7. Regularity of radial minimizers and extremal solutions of semilinear elliptic equations
8. Regularity of the extremal solution of semilinear elliptic equations
9. Ground state solutions for the singular Lane-Emden-Fowler equation with sublinear convection term
10. Regularity of minimizers of semilinear elliptic problems up to dimension 4

Their papers

• Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations (2010) — 309 citations
• The extremal solution of a boundary reaction problem (2008) — 65 citations
• Stable Solutions of Elliptic Partial Differential Equations (2011) — 230 citations
• Lane-Emden-Fowler equations with convection and singular potential (2007) — 92 citations
• Back to the Keller-Osserman Condition for Boundary Blow-up Solutions (2007) — 102 citations
• A Monotonicity Formula and a Liouville-type Theorem for a Fourth Order Supercritical Problem (2013) — 117 citations
• A nonlinear elliptic Pde with the inverse square potential (2002) — 75 citations
• On a semilinear elliptic equation with inverse-square potential (2005) — 86 citations
• Nonhomogeneous boundary conditions for the spectral fractional Laplacian (2015) — 57 citations
• On the fractional Lane-Emden equation (2014) — 87 citations
• Partial regularity of finite Morse index solutions to the Lane–Emden equation (2011) — 63 citations
• Stable solutions of -Au = f(u) in -N (2010) — 62 citations
• On a non-local equation arising in population dynamics (2007) — 233 citations
• Propagation speed of travelling fronts in non local reaction–diffusion equations (2005) — 139 citations