Existence results for one-dimensional fractional equations

被引：52

作者：

Galewski, Marek ^{[1
]}

Bisci, Giovanni Molica ^{[2
]}

机构：

[1] Tech Univ Lodz, Inst Math, Wolczanska 215, PL-90924 Lodz, Poland

[2] Univ Mediterranea Reggio Calabria, Dipartimento PAU, I-89100 Reggio Di Calabria, Italy

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 06期

关键词：

existence results; variational methods; fractional problems; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; LAPLACE EQUATION; OPERATORS; ORDER;

D O I：

10.1002/mma.3582

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, a critical point result for differentiable functionals is exploited in order to prove that a suitable class of one-dimensional fractional problems admits at least one non-trivial solution under an asymptotical behaviour of the nonlinear datum at zero. A concrete example of an application is then presented. Copyright (c) 2015 John Wiley & Sons, Ltd.

引用

页码：1480 / 1492

页数：13

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