Existence of positive solutions of some nonlinear elliptic problems in unbounded domains

In this paper, we study the existence of positive solutions of some nonlinear elliptic problems in unbounded domains. The existence is affected by the properties of the geometry and the topology of the domain.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2006-07, Vol.319 (2), p.841-862
Main Authors: Chen, Kuan-Ju, Peng, Chen-Chang
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical analysis
Mathematics
Palais–Smale sequence
Partial differential equations
Positive higher energy solution
Sciences and techniques of general use
The strip domain with a hole
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Description
Summary:In this paper, we study the existence of positive solutions of some nonlinear elliptic problems in unbounded domains. The existence is affected by the properties of the geometry and the topology of the domain.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2005.06.075