# American Institute of Mathematical Sciences

July  2004, 10(3): 617-634. doi: 10.3934/dcds.2004.10.617

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

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

Received  October 2002 Revised  May 2003 Published  January 2004

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.
Citation: Zhaoli Liu, Jiabao Su. Solutions of some nonlinear elliptic problems with perturbation terms of arbitrary growth. Discrete & Continuous Dynamical Systems, 2004, 10 (3) : 617-634. doi: 10.3934/dcds.2004.10.617
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