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摘要
This paper provides multiplicity results for a class of nonlinear elliptic problems under a nonhomogeneous Neumann boundary condition. We prove the existence of three nontrivial solutions to these problems which depend on the Fucik spectrum of the negative p-Laplacian with a Robin boundary condition. Using variational and topological arguments combined with an equivalent norm on the Sobolev space W-1,W-P it is obtained a smallest positive solution, a greatest negative solution, and a sign-changing solution.
- 出版日期2013-3
