We study a pseudo-differential inclusion driven by the fractional p-Laplacian operator and involving a nonsmooth potential, which satisfies non-resonance conditions both at the origin and at infinity. Using variational meth- ods 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 Hölder regularity.

Two solutions for fractional p-Laplacian inclusions under nonresonance

Antonio Iannizzotto
;
2018-01-01

Abstract

We study a pseudo-differential inclusion driven by the fractional p-Laplacian operator and involving a nonsmooth potential, which satisfies non-resonance conditions both at the origin and at infinity. Using variational meth- ods 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 Hölder regularity.
2018
Fractional p-Laplacian; Differential inclusion; Nonsmooth analysis; Critical point theory
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/247426
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