Riv. Mat. Univ. Parma, Vol. 9, No. 1, 2018

Vincenzo Ambrosio [a]

A multiplicity result for a fractional p-Laplacian problem without growth conditions

Pages: 53-71
Accepted: 6 April 2018
Mathematics Subject Classification (2010): 35A15, 35R11, 45G05.
Keywords: Fractional p-Laplacian, arbitrary growth, multiple solutions, Moser-type iteration.
[a]: Dipartimento di Scienze Pure e Applicate (DiSPeA), Università degli Studi di Urbino 'Carlo Bo', Piazza della Repubblica, 13 Urbino, 61029, Italy

Abstract: Using an abstract critical point result due to Ricceri and combining a truncation argument with a Moser-type iteration, we establish the existence of at least three bounded solutions for a fractional p-Laplacian problem depending on two parameters and involving nonlinearities with arbitrary growth.

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