Existence of solutions for elliptic systems in \(R^N\) involving the \(p(x)\)-Laplacian. (English) Zbl 1258.35087
Summary: This article presents sufficient conditions for the existence of non-trivial solutions for a nonlinear elliptic system. To establish this result, we use a classical existence theorem in reflexive Banach spaces, under some growth conditions on the non-linearities.
MSC:
35J50 | Variational methods for elliptic systems |
35J92 | Quasilinear elliptic equations with \(p\)-Laplacian |