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http://hdl.handle.net/10773/26163
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Frassu, Silvia | pt_PT |
dc.contributor.author | Rocha, Eugénio | pt_PT |
dc.contributor.author | Staicu, Vasile | pt_PT |
dc.date.accessioned | 2019-06-03T15:53:09Z | - |
dc.date.available | 2019-06-03T15:53:09Z | - |
dc.date.issued | 2019-05-31 | - |
dc.identifier.issn | 1072-6691 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/26163 | - |
dc.description.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. | pt_PT |
dc.language.iso | eng | pt_PT |
dc.publisher | Texas State University, Department of Mathematics | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147206/PT | pt_PT |
dc.rights | openAccess | pt_PT |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | pt_PT |
dc.subject | Integrodifferential operators | pt_PT |
dc.subject | Differential inclusions | pt_PT |
dc.subject | Nonsmooth analysis | pt_PT |
dc.subject | Critical point theory | pt_PT |
dc.title | Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.firstPage | 1 | pt_PT |
degois.publication.issue | 75 | pt_PT |
degois.publication.lastPage | 16 | pt_PT |
degois.publication.title | Electronic Journal of Differential Equations | pt_PT |
degois.publication.volume | 2019 | pt_PT |
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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