We consider a p-Lap0lacian type equation witha nonlinear term which is asymptotically p-linear with Dirichlet boundary conditions on a bounded domain. Suitable assumptions, variational methods and either the cohomological index theory or its related pseudo-index one, allow us to prove the existence of multiple nontrivial bounded solutions in the non-resonant case.
A multiplicity result for a generalized p-Laplacian type problem with asymptotically p-linear terms
CANDELA, Anna Maria;PALMIERI, Giuliana
2017-01-01
Abstract
We consider a p-Lap0lacian type equation witha nonlinear term which is asymptotically p-linear with Dirichlet boundary conditions on a bounded domain. Suitable assumptions, variational methods and either the cohomological index theory or its related pseudo-index one, allow us to prove the existence of multiple nontrivial bounded solutions in the non-resonant case.File in questo prodotto:
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