MULTIPLE SOLUTIONS FOR THE FRACTIONAL p-LAPLACIAN EQUATION WITH HARDY-SOBOLEV EXPONENTS

被引：0

作者：

Zhang, Chunyan ^{[1
]}

Zhang, Jihui ^{[2
]}

机构：

[1] Nanjing Normal Univ, Nanjing 210023, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2021年 / 51卷 / 01期

关键词：

fractional p-Laplacian; multiplicity of solutions; Hardy-Sobolev exponent; variational methods; NONLOCAL EQUATIONS; EXISTENCE;

D O I：

10.1216/rmj.2021.51.363

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the fractional p-Laplacian problem with Hardy-Sobolev exponents. We prove: there is a lambda(0) > 0 such that for any lambda is an element of (0; lambda(0)), the above problem possesses infinitely many solutions. We achieve our goal by making use of variational methods, more specifically, the Nehari manifold and LusternikSchnirelmann theory.

引用

页码：363 / 374

页数：12

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