An elliptic system with logarithmic nonlinearity. (English) Zbl 1429.35096
Authors’ abstract: In the present paper, we study the existence of solutions for some classes of singular systems involving the \(\Delta_{p(x)}\) and \(\Delta_{q(x)}\) Laplacian operators. The approach is based on bifurcation theory and the sub-supersolution method for systems of quasilinear equations involving singular terms.
Reviewer: Alessandro Selvitella (Fort Wayne)
MSC:
| 35J75 | Singular elliptic equations |
| 35J48 | Higher-order elliptic systems |
| 35J92 | Quasilinear elliptic equations with \(p\)-Laplacian |
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