Nonhomogeneous elliptic equations involving critical Sobolev exponent and weight
Date
2016-01-06
Authors
Bouchekif, Mohammed
Rimouche, Ali
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we consider the problem
-div(p(x)∇u) = |u|2*-2 u + λƒ in Ω
u = 0 on ∂Ω
where Ω is a bounded domain in ℝN, We study the relationship between the behavior of p near its minima on the existence of solutions.
Description
Keywords
Critical Sobolev exponent, Nehari manifold, Variational principle
Citation
Bouchekif, M., & Rimouche, A. (2016). Nonhomogeneous elliptic equations involving critical Sobolev exponent and weight. <i>Electronic Journal of Differential Equations, 2016</i>(08), pp. 1-12.
Rights
Attribution 4.0 International