Multiple solutions for parametric double phase Dirichlet problems
- Authors: Papageorgiou N.S.; Vetro C.; Vetro F.
- Publication year: 2020
- Type: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/525558
Abstract
We consider a parametric double phase Dirichlet problem. Using variational tools together with suitable truncation and comparison techniques, we show that for all parametric values λ > λ- the problem has at least three nontrivial solutions, two of which have constant sign. Also, we identify the critical parameter λ precisely in terms of the spectrum of the q-Laplacian.