TY - JOUR T1 - Existence of Solutions to a Semilinear Elliptic System Through Generalized Orlicz-Sobolev Spaces AU - M. Hsini JO - Journal of Partial Differential Equations VL - 2 SP - 168 EP - 193 PY - 2010 DA - 2010/05 SN - 23 DO - http://doi.org/10.4208/jpde.v23.n2.4 UR - https://global-sci.org/intro/article_detail/jpde/5227.html KW - Laplace operator KW - n-function KW - generalized Orlicz space KW - generalized Orlicz Sobolev space KW - Orlicz indices KW - Boyd exponents AB -

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.