Location of Repository

Multiple solutions for a fractional p-Laplacian equation with sign-changing potential

By Vincenzo Ambrosio

Abstract

We use a variant of the fountain Theorem to prove the existence of infinitely many weak solutions for the fractional p-Laplace equation $$\displaylines{ (-\Delta)_p^s u + V(x) |u|^{p-2}u = f(x, u) \quad \text{in } \mathbb{R}^N, }$$ where $s\in (0,1)$, $p\geq 2$, $N\geq 2$, $(- \Delta)_{p}^s$ is the fractional p-Laplace operator, the nonlinearity f is p-superlinear at infinity and the potential V(x) is allowed to be sign-changing

Topics: Fractional p-Laplacian, sign-changing potential, fountain theorem, Mathematics, QA1-939
Publisher: Texas State University
Year: 2016
OAI identifier: oai:doaj.org/article:c1810c34be5e48c597ce3b1d5c3ea90d
Journal:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • https://doaj.org/toc/1072-6691 (external link)
  • http://ejde.math.txstate.edu/V... (external link)
  • https://doaj.org/article/c1810... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.