On the Brezis-Nirenberg problem with nonhomogeneous Dirichlet boundary conditions

T.-F. Wu; Y. Wu; Z. Liu

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On the Brezis-Nirenberg problem with nonhomogeneous Dirichlet boundary conditions

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arxiv 1502.02108 v1 pith:RJDAZQAL submitted 2015-02-07 math.AP

Y. Wu , T.-F. Wu , Z. Liu This is my paper

classification math.AP

keywords boundaryconditionsdirichletnonhomogeneousproblemresultbrezis-nirenbergcategory

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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.

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