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

共 50 条

[1] Infinitely Many Solutions for p-Laplacian Equation in RN Without the Ambrosetti-Rabinowitz Condition
Chen, Caisheng
Chen, Lijuan
ACTA APPLICANDAE MATHEMATICAE, 2016, 144 (01) : 185 - 195
[2] ON A CLASS OF KIRCHHOFF-CHOQUARD EQUATIONS INVOLVING VARIABLE-ORDER FRACTIONAL p(•)-LAPLACIAN AND WITHOUT AMBROSETTI-RABINOWITZ TYPE CONDITION
Biswas, Reshmi
Tiwari, Sweta
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2021, 58 (02) : 403 - 439
[3] Fractional p-Laplacian Equations with Subcritical and Critical Exponential Growth Without the Ambrosetti-Rabinowitz Condition
Pei, Ruichang
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (02)
[4] The positive solutions to a quasi-linear problem of fractional p-Laplacian type without the Ambrosetti-Rabinowitz condition
Ge, Bin
Cui, Ying-Xin
Sun, Liang-Liang
Ferrara, Massimiliano
POSITIVITY, 2018, 22 (03) : 873 - 895
[5] Solutions of nonlinear Schrodinger equation with fractional Laplacian without the Ambrosetti-Rabinowitz condition
Gou, Tian-Xiang
Sun, Hong-Rui
APPLIED MATHEMATICS AND COMPUTATION, 2015, 257 : 409 - 416
[6] The fractional Hartree equation without the Ambrosetti-Rabinowitz condition
Francesconi, Mauro
Mugnai, Dimitri
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2017, 33 : 363 - 375
[7] Fractional Kirchhoff-type problems with exponential growth without the Ambrosetti-Rabinowitz condition
Pei, Ruichang
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2022, 23 (01) : 47 - 60
[8] MULTIPLICITY RESULTS FOR SCHRO<spacing diaeresis>DINGER TYPE FRACTIONAL p-LAPLACIAN BOUNDARY VALUE PROBLEMS
Lopera, Emer
Recova, Leandro
Rumbos, Adolfo
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 2024 : 1 - 24
[9] Multiplicity for Nonlinear Elliptic Boundary Value Problems of p-Laplacian Type Without Ambrosetti-Rabinowitz Condition
Li, Gong-bao
Li, Ying-hong
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2015, 31 (01): : 157 - 180
[10] Multiplicity for nonlinear elliptic boundary value problems of p-Laplacian type without Ambrosetti-Rabinowitz condition
Gong-bao Li
Ying-hong Li
Acta Mathematicae Applicatae Sinica, English Series, 2015, 31 : 157 - 180

← 1 2 3 4 5 →