We use a variant of the fountain Theorem to prove the existence of infinitely many weak solutions for the fractional p-Laplace equation
where , , , 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.
Submitted May 10, 2016. Published June 20, 2016.
Math Subject Classifications: 35A15, 35R11, 35J92.
Key Words: Fractional p-Laplacian; sign-changing potential; fountain theorem.
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| Vincenzo Ambrosio |
Dipartimento di Matematica e Applicazioni "R. Caccioppoli"
Università degli Studi di Napoli Federico II
via Cinthia, 80126 Napoli, Italy
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