MULTIPLICITY RESULTS FOR A CRITICAL AND SUBCRITICAL SYSTEM INVOLVING FRACTIONAL p-LAPLACIAN OPERATOR VIA NEHARI MANIFOLD METHOD

被引：0

作者：

Sounia, Zediri ^{[1
]}

Kamel, Akrout ^{[1
]}

Abdeljabbar, Ghanmi ^{[2
]}

机构：

[1] Larbie Tebessi Univ, LAMIS Lab, Tebessa, Algeria

[2] Tunis Manar Univ, Fac Sci, Dept Math, Tunis 2092, Tunisia

来源：

BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2022年 / 17卷 / 03期

关键词：

Variational method; Nehari manifold; elliptic equation; multiple solutions; POSITIVE SOLUTIONS; ELLIPTIC PROBLEMS; DIRICHLET PROBLEM; REGULARITY; EXPONENT; CONCAVE;

D O I：

10.21915/BIMAS.2022304

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the existence of multiple solutions to some sub-critical and critical systems involving the fractional p-Laplacian operator. Our main tools are based on variational methods. Precisely, the Nehari manifold method combined with fibering map are used in the study of the sub-critical case. While in the critical one, we use the mountain pass theorem combined with Nehari manifold and Brezis-Lieb lemma.

引用

页码：355 / 376

页数：22

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