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.
Bisci, G., Tulone, F. (2016). An existence result for fractional Kirchhoff-type equations. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 35(2), 181-197 [10.4171/ZAA/1561].
An existence result for fractional Kirchhoff-type equations
TULONE, Francesco
2016-01-01
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.
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