Divergent sequence of nontrivial solutions for superlinear double phase problems
- Authors: Papageorgiou N.S.; Vetro C.; Vetro F.
- Publication year: 2023
- Type: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/618028
Abstract
We consider a double phase (unbalanced growth) Dirichlet problem with a Carathéodory reaction f(z ,x) which is superlinear in x but without satisfying the AR-condition. Using the symmetric mountain pass theorem, we produce a whole sequence of distinct bounded solutions which diverge to infinity.