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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

Provided by:
Directory of Open Access Journals (new)

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