On a Schro<spacing diaeresis>dinger-Kirchhoff Type Equation Involving the Fractional p-Laplacian without the Ambrosetti-Rabinowitz Condition

被引：0

作者：

Bouabdallah, Mohamed ^{[1
]}

Chakrone, Omar ^{[1
]}

Chehabi, Mohammed ^{[1
]}

机构：

[1] Univ Mohammed 1st, Fac Sci, Dept Math & Comp, Lab Nonlinear Anal, Oujda, Morocco

来源：

JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY | 2024年 / 20卷 / 01期

关键词：

fractional p-Laplacian operator; fractional Sobolev space; Schro center dot dinger-Kirchhoff type equation; Ambrosetti-Rabinowitz condition; variational methods; SEMILINEAR SCHRODINGER-EQUATIONS; ELLIPTIC PROBLEMS; DIRICHLET PROBLEM; EXISTENCE; MULTIPLICITY; TRANSPORT;

D O I：

10.15407/mag20.01.041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the existence and multiplicity of many weak solutions for the following fractional Schr odinger-Kirchhoff type equation: (a+b integral integral(2N)(R)|u(x)-u(y)|p/|x-y|(N+ps)dxdy)(p-1)x(-triangle)(s)(p)u+lambda V(x)|u|(p-2)u =f(x,u) +h(x) inR(N), whereN > sp,a,b >0 are constants,lambda is a parameter, (-triangle)spis the frac-tionalp-Laplacian operator with 0< s <1< p <infinity, nonlinearityf(x,u)and potential functionV(x) satisfy some suitable assumptions. Under thoseconditions, some new results are obtained for lambda >0 large enough by applyingthe variation methods

引用

页码：41 / 65

页数：25

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