On the existence of solutions for a nonlinear coupled system in Orlicz–Sobolev Spaces
Applicationes Mathematicae
MSC: Primary 35J60; Secondary 35N05
DOI: 10.4064/am2553-5-2026
Published online: 15 September 2026
Abstract
This paper establishes the existence of a capacity solution for a system of two elliptic PDEs with perturbations. These equations are relevant to the stationary thermistor problem. Notably, we achieve this result without imposing the $\Delta _2$-condition on the N-function.
