Nonhomogeneous Dirichlet problems without the Ambrosetti-Rabinowitz condition

Gang Li, Vicenţiu D. Rădulescu, Dušan D. Repovš +1

We consider the existence of solutions of the following $p(x)$-Laplacian Dirichlet problem without the Ambrosetti-Rabinowitz condition: $-\mbox{div}(|\nabla u|^{p(x)-2}\nabla u)=f(…