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November  2002, 8(4): 1019-1024. doi: 10.3934/dcds.2002.8.1019

Existence of solutions for the $p-$Laplacian with crossing nonlinearity

Xianling Fan 1, , Yuanzhang Zhao 1, and  Guifang Huang 1,

1. 

Department of Mathematics, Lanzhou University, Lanzhou 730000, China, China, China

Received  June 2001 Revised  May 2002 Published  July 2002

In the present paper, using the Leray-Schauder degree theory, we proved the existence of nontrivial solutions for p-Laplacian with a crossing nonlinearity.
Keywords: Leray-Schauder degree, crossing nonlinearity, Dirichlet problems., p-Laplancian.
Mathematics Subject Classification: 35J7.
Citation: Xianling Fan, Yuanzhang Zhao, Guifang Huang. Existence of solutions for the $p-$Laplacian with crossing nonlinearity. Discrete & Continuous Dynamical Systems - A, 2002, 8 (4) : 1019-1024. doi: 10.3934/dcds.2002.8.1019
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