TY - JOUR
T1 - Existence and Multiplicity of Weak Solutions for a Class of Variable Exponent Elliptic Equations
AU - Liu , Jingjing
AU - Zhao , Chunshan
JO - Journal of Partial Differential Equations
VL - 2
SP - 125
EP - 141
PY - 2025
DA - 2025/06
SN - 38
DO - http://doi.org/10.4208/jpde.v38.n2.1
UR - https://global-sci.org/intro/article_detail/jpde/24212.html
KW - Weak solutions, $p(x)$-Laplacian, weighted variable exponent Sobolev spaces.
AB - <p style="text-align: justify;">In this paper we will study the existence of one, two and three weak solutions for a class of variable exponent elliptic equations under appropriate growth conditions on the nonlinearity. Our technical approach is based on the existence theorems
obtained by G. Bonanno.</p>