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 / Bartolo, Rossella; Molica Bisci, G.. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 196:(2017), pp. 427-442. [10.1007/s10231-016-0579-2]
Asymptotically linear fractional p-Laplacian equations
BARTOLO, Rossella;
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 theoremI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
