Nontrivial weak solution for a Schrödinger-Kirchhoff-type system driven by a \((p_1,p_2)\)-Laplacian operator. (English) Zbl 1409.35066
Summary: In this paper, we investigate the existence of nontrivial weak solution for a Schrödinger-Kirchhoff-type system driven by a \((p_1,p_2)\)-Laplacian operator under appropriate hypotheses. The proofs are based on the variational methods.
MSC:
| 35J10 | Schrödinger operator, Schrödinger equation |
| 35J50 | Variational methods for elliptic systems |
| 35J92 | Quasilinear elliptic equations with \(p\)-Laplacian |
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