# American Institute of Mathematical Sciences

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

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

 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.
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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