Title of article
Multiple positive solutions for a Dirichlet problem involving critical Sobolev exponent
Author/Authors
Li، نويسنده , , Tiexiang and Wu، نويسنده , , Tsung-fang، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
13
From page
245
To page
257
Abstract
In this paper, we study the decomposition of the Nehari manifold via the combination of concave and convex nonlinearities. Furthermore, we use this result and the Ljusternik–Schnirelmann category to prove that the existence of multiple positive solutions for a Dirichlet problem involving critical Sobolev exponent.
Keywords
Ljusternik–Schnirelmann category , Critical Sobolev exponent , Multiple positive solutions , Nehari manifold
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2010
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561121
Link To Document