Solutions of some nonlinear elliptic problems with perturbation terms of arbitrary growth

Zhaoli Liu; Jiabao Su

doi:10.3934/dcds.2004.10.617

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2004, Volume 10, Issue 3: 617-634. Doi: 10.3934/dcds.2004.10.617

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Solutions of some nonlinear elliptic problems with perturbation terms of arbitrary growth

Zhaoli Liu^1, and
Jiabao Su^2,

1.
Department of Mathematics, Shandong University, Jinan 250100
2.
School of Mathematical Sciences, Capital Normal University, Beijing 100037

Received: October 2002

Revised: May 2003

Published: July 2004

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Abstract

In this paper, existence and multiplicity of nontrivial solutions are obtained for some nonlinear elliptic boundary value problems with perturbation terms of arbitrary growth. Results are obtained via variational arguments.

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Mathematics Subject Classification: 35J65, 58E05, 49B27.

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