Multiplicity results for elliptic fractional equations with subcritical term

被引：40

作者：

Bisci, Giovanni Molica ^{[1
]}

Radulescu, Vicentiu D. ^{[2
]}

机构：

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

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21413, Saudi Arabia

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2015年 / 22卷 / 04期

关键词：

Fractional Laplacian; variational methods; multiple solutions; LAPLACIAN; OPERATORS;

D O I：

10.1007/s00030-014-0302-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, by using variational methods, we study the existence of multiple nontrivial weak solutions for parametric nonlocal equations, driven by the fractional Laplace operator , in which the nonlinear term has a sublinear growth at infinity. More precisely, a critical point result for differentiable functionals is exploited, in order to prove the existence of an open interval of positive eigenvalues for which the treated problem admits at least two nontrivial weak solutions in a suitable fractional Sobolev space.

引用

页码：721 / 739

页数：19

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