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 and Continuous Dynamical Systems, 2002, 8 (4) : 1019-1024. doi: 10.3934/dcds.2002.8.1019
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