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Existence of Nontrivial Positive Solutions to a Semilinear Elliptic System

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Abstract:

This paper studies the nontrivial positive solutions to a semilinear elliptic system in the n dimensional Euclide space. By constructing new variational space, using the linking theorems and some embedding theorems, this paper proves the existence of positive solution to a semilinear elliptic system, and improves the results of Li and Wang.

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Periodical:

Applied Mechanics and Materials (Volumes 204-208)

Pages:

4548-4551

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.204-208.4548

Citation:

Cite this paper

Online since:

October 2012

Authors:

Da Wei Sun, Gao Sheng Zhu

Keywords:

Linking Theorem, Nontrivial Positive Solutions, Semilinear Elliptic System

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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