In this paper we study the multiplicity of weak solutions to (possibly resonant) nonlocal equations involving the fractional p-Laplacian operator. More precisely, we consider a Dirichlet problem driven by the fractional p-Laplacian operator and involving a subcritical nonlinear term which does not satisfy the technical Ambrosetti-Rabinowitz condition. By framing this problem in an appropriate variational setting, we prove a multiplicity theorem.

Asymptotically linear fractional p-Laplacian equations

Molica Bisci G
2017-01-01

Abstract

In this paper we study the multiplicity of weak solutions to (possibly resonant) nonlocal equations involving the fractional p-Laplacian operator. More precisely, we consider a Dirichlet problem driven by the fractional p-Laplacian operator and involving a subcritical nonlinear term which does not satisfy the technical Ambrosetti-Rabinowitz condition. By framing this problem in an appropriate variational setting, we prove a multiplicity theorem.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11576/2664295
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