An existence result for fractional Kirchhoff-type equations

Francesco Tulone; Giovanni Molica Bisci

An existence result for fractional Kirchhoff-type equations

Francesco Tulone, Giovanni Molica Bisci

Matematica e Informatica

Risultato della ricerca: Article › peer review

12 Citazioni (Scopus)

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.

Lingua originale	English
pagine (da-a)	181-197
Numero di pagine	17
Rivista	ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
Volume	35
Stato di pubblicazione	Published - 2016

All Science Journal Classification (ASJC) codes

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title = "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.",

author = "Francesco Tulone and Bisci, {Giovanni Molica}",

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journal = "Zeitschrift fur Analysis und ihre Anwendung",

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AU - Tulone, Francesco

AU - Bisci, Giovanni Molica

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AB - 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.

UR - http://hdl.handle.net/10447/200893

M3 - Article

VL - 35

SP - 181

EP - 197

JO - Zeitschrift fur Analysis und ihre Anwendung

JF - Zeitschrift fur Analysis und ihre Anwendung

SN - 0232-2064

ER -

An existence result for fractional Kirchhoff-type equations

Abstract

All Science Journal Classification (ASJC) codes

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