An existence result for elliptic problems with singular critical growth
Date
2007-06-06
Authors
Nasri, Yasmina
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We prove the existence of nontrivial solutions for the singular critical problem
-Δu - μ u/|x|2 = λƒ(x)u + u2*-1
with Dirichlet boundary conditions. Here the domain is a smooth bounded subset of ℝN, N ≥ 3, and 2* = 2N/N-2 which is the critical Sobolev exponent.
Description
Keywords
Palais-Smale condition, Singular potential, Sobolev exponent, Mountain-Pass Theorem
Citation
Nasri, Y. (2007). An existence result for elliptic problems with singular critical growth. <i>Electronic Journal of Differential Equations, 2007</i>(84), pp. 1-6.
Rights
Attribution 4.0 International