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

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

Year:    2010

Journal of Partial Differential Equations, Vol. 23 (2010), Iss. 2 : pp. 168–193

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 23 (2010), Iss. 2 : pp. 168–193

Published online:    2010-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    26

Keywords:    Laplace operator