Multiple solutions for possibly degenerate equations in divergence form. (English) Zbl 1353.35127
Summary: Via variational methods, we establish the existence of at least two distinct weak solutions for the Dirichlet problem associated to a possibly degenerate equation in divergence form.
MSC:
| 35G30 | Boundary value problems for nonlinear higher-order PDEs |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35A15 | Variational methods applied to PDEs |
| 35J70 | Degenerate elliptic equations |
