Antonio Iannizzotto, Eugenio M. Rocha, Sandrina Santos
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.
Submitted February 6, 2018. Published June 15, 2018.
Math Subject Classifications: 35R11, 34A60, 49J92, 58E05.
Key Words: Fractional p-Laplacian; differential inclusion; nonsmooth analysis;
critical point theory.
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Antonio Iannizzotto Department of Mathematics and Computer Science University of Cagliari Viale L. Merello 92, 09123 Cagliari, Italy email: antonio.iannizzotto@unica.it |
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| Eugénio M. Rocha CIDMA - Center for Research and Development in Mathematics and Applications Department of Mathematics, University of Aveiro 3810-193 Aveiro, Portugal email: eugenio@ua.pt | |
| Sandrina Santos CIDMA - Center for Research and Development in Mathematics and Applications Department of Mathematics, University of Aveiro 3810-193 Aveiro, Portugal email: sras@ua.pt |
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