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2005, 2005(Special): 376-385. doi: 10.3934/proc.2005.2005.376

Nonexistence of positive solutions of quasilinear elliptic equations with singularity on the boundary in strip-like domains

Takahiro Hashimoto 1,

1. 

Department of Mathematical Sciences, Faculty of Science, Ehime University, 2-5 Bunkyo-cho, Matsuyama-shi, Ehime, Japan 790-77, Japan

Received  September 2004 Revised  April 2005 Published  September 2005

In this paper, we discuss the nonexistence of positive solutions for nonlinear elliptic equations with singularity on the boundary in infinite strip-like domains. The main results are the nonexistence in eigen-value and sub principal case and they are shown by giving an argument concerning the simplicity of the first eigenvalue for generalized eigenvalue problems combined with translation invariance of the domain. We also show another nonexistence result via a modified version of Pohozaev-type identity.
Keywords: singularity., nonexistence, strip-like domains.
Mathematics Subject Classification: Primary: 35J20;Secondary: 35J7.
Citation: Takahiro Hashimoto. Nonexistence of positive solutions of quasilinear elliptic equations with singularity on the boundary in strip-like domains. Conference Publications, 2005, 2005 (Special) : 376-385. doi: 10.3934/proc.2005.2005.376
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