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Title: Existence and multiplicity results for partial differential inclusions via nonsmooth local linking
Author: Iannizzotto, Antonio
Staicu, Vasile
Keywords: p-Laplacian
Partial differential inclusion
Morse theory
Issue Date: 1-Jun-2020
Publisher: Yokohama Publishers
Abstract: We consider a partial differential inclusion driven by the p-Laplacian and involving a nonsmooth potential, with Dirichlet boundary conditions. Under convenient assumptions on the behavior of the potential near the origin, the associated energy functional has a local linking. By means of nonsmooth Morse theory, we prove the existence of at least one or two nontrivial solutions, respectively, when the potential is p-superlinear or at most asymptotically p-linear at infinity.
Peer review: yes
ISSN: 1345-4773
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Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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