Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance
| dc.contributor.author | Frassu, Silvia | |
| dc.contributor.author | Rocha, Eugenio M. | |
| dc.contributor.author | Staicu, Vasile | |
| dc.date.accessioned | 2021-11-29T16:32:21Z | |
| dc.date.available | 2021-11-29T16:32:21Z | |
| dc.date.issued | 2019-05-31 | |
| 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Frassu, S., Rocha, E. M., & Staicu, V. (2019). Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance. Electronic Journal of Differential Equations, 2019(75), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14963 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Integrodifferential operators | |
| dc.subject | Differential inclusions | |
| dc.subject | Nonsmooth analysis | |
| dc.subject | Critical point theory | |
| dc.title | Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance | en_US |
| dc.type | Article |