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Zeitschrift für Analysis und ihre Anwendungen

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Volume 35, Issue 2, 2016, pp. 181–197
DOI: 10.4171/ZAA/1561

Published online: 2016-04-13

An Existence Result for Fractional Kirchhoff-Type Equations

Giovanni Molica Bisci[1] and Francesco Tulone[2]

(1) Università degli Studi Mediterranea de Reggio Calabria, Italy
(2) Università degli Studi di Palermo, Italy

The aim of this paper is to study a class of nonlocal fractional Laplacian equations of Kirchho ff-type. More precisely, by using an appropriate analytical context on fractional Sobolev spaces, we establish the existence of one non-trivial weak solution for nonlocal fractional problems exploiting suitable variational methods.

Keywords: Fractional equations, variational methods, critical point results

Molica Bisci Giovanni, Tulone Francesco: An Existence Result for Fractional Kirchhoff-Type Equations. Z. Anal. Anwend. 35 (2016), 181-197. doi: 10.4171/ZAA/1561