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Title: Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance
Author: Frassu, Silvia
Rocha, Eugénio
Staicu, Vasile
Keywords: Integrodifferential operators
Differential inclusions
Nonsmooth analysis
Critical point theory
Issue Date: 31-May-2019
Publisher: Texas State University, Department of Mathematics
Abstract: In this article, we study a pseudo-differential inclusion driven by a nonlocal anisotropic operator and a Clarke generalized subdifferential of a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity. We prove the existence of three nontrivial solutions: one positive, one negative and one of unknown sign, using variational methods based on nosmooth critical point theory, more precisely applying the second deformation theorem and spectral theory. Here, a nosmooth anisotropic version of the Holder versus Sobolev minimizers relation play an important role.
Peer review: yes
ISSN: 1072-6691
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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