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arXiv · 1502.02108

On the Brezis-Nirenberg problem with nonhomogeneous Dirichlet boundary conditions

Y. Wu·T. -F. Wu·Z. Liu
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Abstract

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.

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Y. Wu, T. -F. Wu, Z. Liu. 2015-02-07. On the Brezis-Nirenberg problem with nonhomogeneous Dirichlet boundary conditions. https://arxiv.org/abs/1502.02108

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