Concentration Estimates for Emden-Fowler Equations with Boundary Singularities and Critical Growth

2005/03/14 by Nassif Ghoussoub, Ghoussoub, Nassif, Frédéric Robert +2 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.math/0503276

65 pages

arxiv created 2005/03/14 · openalex publication_date 2005/03/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish -among other things- existence and multiplicity of solutions for the Dirichlet problem ∑_i∂_iiu+\frac|u|^\crit-2u|x|^s=0 on smooth bounded domains Ω of \rn (n≥ 3) involving the critical Hardy-Sobolev exponent \crit =(2(n-s))/(n-2) where 0

Citations

• On the parabolic kernel of the Schrödinger operator
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

Cited by

• A Nonlinear elliptic PDE with curve singularity on the boundary

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