Least energy sign-changing solution to a fractional p-Laplacian problem involving singularities

被引：0

作者：

Ghosh, S. ^{[1
]}

Saoudi, K. ^{[2
,3
]}

Kratou, M. ^{[2
,3
]}

Choudhuri, D. ^{[1
]}

机构：

[1] Natl Inst Technol Rourkela, Dept Math, Rourkela, India

[2] Imam Abdulrahman Bin Faisal Univ, Coll Sci Dammam, Dammam 31441, Saudi Arabia

[3] Imam Abdulrahman Bin Faisal Univ, Basic & Appl Sci Res Ctr, POB 1982, Dammam 31441, Saudi Arabia

来源：

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2020年 / 17卷 / 02期

关键词：

Sign-changing solutions; Factional p-Laplacian; Nehari manifold; Singularity; Brouwer degree; SCHRODINGER-POISSON SYSTEM; NODAL SOLUTIONS; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE; MULTIPLICITY; CONCAVE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of a least energy sign-changing solution to a nonlocal elliptic PDE involving singularities by using the Nehari manifold method, the constraint variational method and Brouwer degree theory.

引用

页码：97 / 115

页数：19

共 41 条

[1]

Adams R.A, 1975, PURE APPL MATH, V65

[2] Existence of least energy nodal solution for a Schrodinger-Poisson system in bounded domains [J].