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Zeitschrift für Analysis und ihre Anwendungen
Article . 2016 . Peer-reviewed
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An Existence Result for Fractional Kirchhoff-Type Equations

Authors: Bisci, G.; TULONE, Francesco;

An Existence Result for Fractional Kirchhoff-Type Equations

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.

Country
Italy
Keywords

Variational methods, Applied Mathematics, Critical point results, Fractional equations, variational methods, critical point results, Critical point results; Fractional equations; Variational methods; Analysis; Applied Mathematics, Fractional equations, Analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Average
Average
Top 10%
Green