TY - JOUR
T1 - Existence of Solutions to a Semilinear Elliptic System Through Generalized Orlicz-Sobolev Spaces
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 - <p>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.</p>