THE NEHARI MANIFOLD FOR FRACTIONAL SYSTEMS INVOLVING CRITICAL NONLINEARITIES

被引：52

作者：

He, Xiaoming ^{[1
]}

Squassina, Marco ^{[2
]}

Zou, Wenming ^{[3
]}

机构：

[1] Minzu Univ China, Coll Sci, Beijing 100081, Peoples R China

[2] Univ Verona, Dipartimento Informat, I-37134 Verona, Italy

[3] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2016年 / 15卷 / 04期

关键词：

Fractional systems; concave-convex nonlinearities; Nehari manifold; CONCAVE-CONVEX NONLINEARITIES; CRITICAL SOBOLEV EXPONENTS; NONLOCAL ELLIPTIC-OPERATORS; CHANGING WEIGHT FUNCTION; POSITIVE SOLUTIONS; LAPLACIAN; EQUATIONS; REGULARITY; POWER;

D O I：

10.3934/cpaa.2016.15.1285

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the combined effect of concave and convex nonlinearities on the number of positive solutions for a fractional system involving critical Sobolev exponents. With the help of the Nehari manifold, we prove that the system admits at least two positive solutions when the pair of parameters (lambda, mu) belongs to a suitable subset of R-2.

引用

页码：1285 / 1308

页数：24

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