An Existence Result for Fractional Kirchhoff-Type Equations

被引：19

作者：

Bisci, Giovanni Molica ^{[1
]}

Tulone, Francesco ^{[2
]}

机构：

[1] Univ Reggio Calabria, Dipartimento PAU, I-89124 Reggio Di Calabria, Italy

[2] Univ Palermo, Dept Math, Via Archirafi 34, I-90123 Palermo, Italy

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2016年 / 35卷 / 02期

关键词：

Fractional equations; variational methods; critical point results; BREZIS-NIRENBERG RESULT; NONLINEAR EQUATIONS; BOUNDARY; LAPLACIANS; REGULARITY; SYSTEMS;

D O I：

10.4171/ZAA/1561

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：181 / 197

页数：17

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