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|Title:||Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance|
Critical point theory
|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.|
|Appears in Collections:||CIDMA - Artigos|
FAAG - Artigos
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