Existence and multiplicity of solutions for a weighted \((p,q)\)-Laplacian problem on the Heisenberg Lie groups. (English) Zbl 1531.35342
Summary: Existence and multiplicity of weak solutions for a weighted \((p,q)\)-Laplacian problem consisting of a singular term are proved, where the weight function satisfies Muckenhoupt’s condition. The method is based on the variational methods.
MSC:
| 35R03 | PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. |
| 35J25 | Boundary value problems for second-order elliptic equations |
| 35J92 | Quasilinear elliptic equations with \(p\)-Laplacian |
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