Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/26163
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 |
URI: | http://hdl.handle.net/10773/26163 |
ISSN: | 1072-6691 |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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frassu.pdf | 369.82 kB | Adobe PDF | View/Open |
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