Two solutions for fractional p-Laplacian inclusions under nonresonance

Autor: Antonio Iannizzotto, Eugenio M. Rocha, Sandrina Santos
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2018, Iss 122,, Pp 1-13 (2018)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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.
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