Existence of Nontrivial Positive Solutions to a Semilinear Elliptic System with Variable Coefficients

Da Wei Sun; Jia Rui Liu

doi:10.4028/www.scientific.net/AMM.155-156.678

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Existence of Nontrivial Positive Solutions to a Semilinear Elliptic System with Variable Coefficients
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 155-156Existence of Nontrivial Positive Solutions to a...

Existence of Nontrivial Positive Solutions to a Semilinear Elliptic System with Variable Coefficients

Abstract:

This paper studies the nontrivial positive solutions to a semilinear elliptic system with variable coefficients in the n dimensional Euclide space. By constructing a new variational space and using some linking theorems, this paper finally proves the existence of positive solution to a semilinear elliptic system.