Two solutions for fractional p-Laplacian inclusions under nonresonance
dc.contributor.author | Iannizzotto, Antonio | |
dc.contributor.author | Rocha, Eugenio M. | |
dc.contributor.author | Santos, Sandrina | |
dc.date.accessioned | 2022-02-14T18:15:51Z | |
dc.date.available | 2022-02-14T18:15:51Z | |
dc.date.issued | 2018-06-15 | |
dc.description.abstract | We study a pseudo-differential inclusion driven by the fractional p-Laplacian operator and involving a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity. Using variational methods based on nonsmooth critical point theory (Clarke's subdifferential), we establish existence of at least two constant sign solutions (one positive, the other negative), enjoying Holder regularity. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 14 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Iannizzotto, A., Rocha, E. M., & Santos, S. (2018). Two solutions for fractional p-Laplacian inclusions under nonresonance. <i>Electronic Journal of Differential Equations, 2018</i>(122), pp. 1-14. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15322 | |
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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Fractional p-Laplacian | |
dc.subject | Differential inclusion | |
dc.subject | Nonsmooth analysis | |
dc.subject | Critical point theory | |
dc.title | Two solutions for fractional p-Laplacian inclusions under nonresonance | |
dc.type | Article |