Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance
Frassu S.;Staicu V.
2019-01-01
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 Hölder versus Sobolev minimizers relation play an important role.File | Size | Format | |
---|---|---|---|
Frassu Rocha Staicu.pdf open access
Type: versione editoriale
Size 369.82 kB
Format Adobe PDF
|
369.82 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.