Existence of Solutions to a Semilinear Elliptic System Through Generalized Orlicz-Sobolev Spaces

M. Hsini

doi:10.4208/jpde.v23.n2.4

Existence of Solutions to a Semilinear Elliptic System Through Generalized Orlicz-Sobolev Spaces

Authors

M. Hsini

DOI:

https://doi.org/10.4208/jpde.v23.n2.4

Keywords:

Laplace operator;n-function;generalized Orlicz space;generalized Orlicz Sobolev space;Orlicz indices;Boyd exponents

Abstract

This paper is concerned with the existence theory of a semilinear elliptic system. In particular, we will prove that the system has a nontrivial positive solution in some appropriate solution spaces.

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Published

2010-05-06

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Issue

Vol. 23 No. 2 (2010)

Section

Articles

How to Cite

Existence of Solutions to a Semilinear Elliptic System Through Generalized Orlicz-Sobolev Spaces. (2010). Journal of Partial Differential Equations, 23(2), 168-193. https://doi.org/10.4208/jpde.v23.n2.4