On the Brezis-Nirenberg problem with nonhomogeneous Dirichlet boundary conditions
In this paper, we study the decomposition of Nehari manifold for the Brézis-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 Brézis{Nirenberg problem with nonhomogeneous Dirichlet boundary conditions.
math.AP↗