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

Xianling Fan; Yuanzhang Zhao; Guifang Huang

doi:10.3934/dcds.2002.8.1019

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2002, Volume 8, Issue 4: 1019-1024. Doi: 10.3934/dcds.2002.8.1019

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

1.
Department of Mathematics, Lanzhou University, Lanzhou 730000

Received: May 31, 2001

Revised: April 30, 2002

Published: September 2002

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Abstract

In the present paper, using the Leray-Schauder degree theory, we proved the existence of nontrivial solutions for p-Laplacian with a crossing nonlinearity.

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Mathematics Subject Classification: 35J70.

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