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On the Brezis-Nirenberg problem with nonhomogeneous Dirichlet boundary conditions

Published 7 Feb 2015 in math.AP | (1502.02108v1)

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.

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Authors (3)

  1. Y. Wu 
  2. T. -F. Wu 
  3. Z. Liu 

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