JournalszaaVol. 35, No. 2pp. 181–197

An Existence Result for Fractional Kirchhoff-Type Equations

  • Giovanni Molica Bisci

    Università degli Studi Mediterranea de Reggio Calabria, Italy

  • Francesco Tulone

    Università degli Studi di Palermo, Italy
An Existence Result for Fractional Kirchhoff-Type Equations cover
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Abstract

The aim of this paper is to study a class of nonlocal fractional Laplacian equations of Kirchhoff-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.

Cite this article

Giovanni Molica Bisci, Francesco Tulone, An Existence Result for Fractional Kirchhoff-Type Equations. Z. Anal. Anwend. 35 (2016), no. 2, pp. 181–197

DOI 10.4171/ZAA/1561