INFINITELY MANY SMALL ENERGY SOLUTIONS FOR EQUATIONS INVOLVING THE FRACTIONAL LAPLACIAN IN RN

被引：6

作者：

Kim, Yun-Ho ^{[1
]}

机构：

[1] Sangmyung Univ, Dept Math Educ, Seoul 03016, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2018年 / 55卷 / 05期

关键词：

integrodifferential operators; fractional Laplacian; variational methods; infinitely many solutions; MULTIPLE SOLUTIONS; CONCAVE NONLINEARITIES; SCHRODINGER-EQUATION; ELLIPTIC-EQUATIONS; BIFURCATION; GUIDE;

D O I：

10.4134/JKMS.j170681

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with elliptic equations in R-N, driven by a non-local integro-differential operator, which involves the fractional Laplacian. The main aim of this paper is to prove the existence of small solutions for our problem with negative energy in the sense that the sequence of solutions converges to 0 in the L-infinity-norm by employing the regularity type result on the L-infinity-boundedness of solutions and the modified functional method.

引用

页码：1269 / 1283

页数：15

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