Two solutions for fractional p-Laplacian inclusions under nonresonance
Date
2018-06-15
Authors
Iannizzotto, Antonio
Rocha, Eugenio M.
Santos, Sandrina
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Fractional p-Laplacian, Differential inclusion, Nonsmooth analysis, Critical point theory
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.
Rights
Attribution 4.0 International