Three solutions for a Schrodinger-Kirchhoff type equation involving nonlocal fractional integro-defferential operators

被引：11

作者：

Azroul, Elhoussine ^{[1
]}

Benkirane, Abdelmoujib ^{[1
]}

Srati, Mohammed ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Lab Math Anal & Applicat, Fes, Morocco

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2020年 / 11卷 / 04期

关键词：

Nonlocal Schrodinger-Kirchhoff type equation; Fractional integro-defferential operators; Fractional Sobolev spaces; Three critical points theorem; POSITIVE SOLUTIONS; MULTIPLICITY; LAPLACIAN;

D O I：

10.1007/s11868-020-00331-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the existence of three weak solutions in a fractional Sobolev space for a Schrodinger-Kirchhoff type equation, driven by a nonlocal integro-differential operator: M(integral(RN) integral(RN) |u(x) - u(y)|K-p(x - y)dxdy + integral(RN) V(x)|u|(p)dx) (L-p(K) u + V(x)|u|(p-2)u) = lambda f (x, u) + mu g(x, u) in R-N. The technical approach is mainly based on a three critical points theorem.

引用

页码：1915 / 1932

页数：18

共 37 条

[1]

Adams R.A., 2003, Sobolev spaces

[2] Positive solutions for a quasilinear elliptic equation of Kirchhoff type [J].