On Existence and Stability of Solutions to Elliptic Systems with Generalised Growth
Marek Galewski, Marek Płócienniczak · Bulletin of the Australian Mathematical Society · 2007
We are concerned with existence and stability of solutions for system of equations with generalisedp(x)andm(x)—Laplace operators and where the nonlinearity satisfies some local growth conditions. We provide a variational approach that is based on investigation of the primal and the dual action functionals. As a consequence we consider the dependence of the the system on functional parameters.