Anisotropic double-phase problems with indefinite potential: multiplicity of solutions
Anisotropic double-phase problems with indefinite potential: multiplicity of solutions
Abstract We consider an anisotropic double-phase problem plus an indefinite potential. The reaction is superlinear. Using variational tools together with truncation, perturbation and comparison techniques and critical groups, we prove a multiplicity theorem producing five nontrivial smooth solutions, all with sign information and ordered. In this process we also prove …