Existence of solutions for the p-Laplacian with crossing nonlinearity

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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

Abstract
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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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