On the Brezis-Nirenberg problem with nonhomogeneous Dirichlet boundary conditions
Analysis of PDEs
2015-02-10 v1
Abstract
In this paper, we study the decomposition of Nehari manifold for the Br\'ezis-Nirenberg problem with nonhomogeneous Dirichlet boundary conditions. By using this result, the Lusternik-Schnirelman category and the minimax principle, we establish a multiple result (four solutions) for the Br\'ezis{Nirenberg problem with nonhomogeneous Dirichlet boundary conditions.
Keywords
Cite
@article{arxiv.1502.02108,
title = {On the Brezis-Nirenberg problem with nonhomogeneous Dirichlet boundary conditions},
author = {Y. Wu and T. -F. Wu and Z. Liu},
journal= {arXiv preprint arXiv:1502.02108},
year = {2015}
}
Comments
18pages