Entire sign-changing solutions to the fractional p-Laplacian equation involving critical nonlinearity

被引：0

作者：

Zhang, Chunyan ^{[1
]}

Ma, Pei ^{[2
]}

Zheng, Tiantian ^{[1
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R China

[2] Nanjing Forestry Univ, Coll Sci, Nanjing 210037, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2023年 / 235卷

关键词：

Fractional p -Laplacian; Sign-changing solutions; Group invariant;

D O I：

10.1016/j.na.2023.113346

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence of multiple sign-changing solutions to the fractional p-Laplacian equation (-o)spu- |u|p*-2u = 0, inRN, by combining the minimax theory and group equivariant technique with the concentration compactness argument.& COPY; 2023 Elsevier Ltd. All rights reserved.

引用

页数：18

共 50 条

[1] Signed and sign-changing solutions for a Kirchhoff-type problem involving the fractional p-Laplacian with critical Hardy nonlinearity
Gabert, Rodrigo F.
Rodrigues, Rodrigo S.
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (02) : 968 - 995
[2] Weak solutions for a fractional p-Laplacian equation with sign-changing potential
Xu, Jiafa
Wei, Zhongli
Dong, Wei
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2016, 61 (02) : 284 - 296
[3] The Nehari manifold for a class of Schrodinger equation involving fractional p-Laplacian and sign-changing logarithmic nonlinearity
Le Xuan Truong
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (11)
[4] Infinitely many sign-changing solutions for p-Laplacian equation involving the critical Sobolev exponent
Yuanze Wu
Yisheng Huang
[J]. Boundary Value Problems, 2013
[5] Infinitely many sign-changing solutions for p-Laplacian equation involving the critical Sobolev exponent
Wu, Yuanze
Huang, Yisheng
[J]. BOUNDARY VALUE PROBLEMS, 2013,
[6] Sign-Changing Solutions of Fractional p-Laplacian Problems
Chang, Xiaojun
Nie, Zhaohu
Wang, Zhi-Qiang
[J]. ADVANCED NONLINEAR STUDIES, 2019, 19 (01) : 29 - 53
[7] SIGN-CHANGING SOLUTIONS FOR THE BOUNDARY VALUE PROBLEM INVOLVING THE FRACTIONAL p-LAPLACIAN
Wu, Pengcheng
Zhou, Yuying
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2021, 57 (02) : 597 - 619
[8] New Existence of Solutions for the Fractional p-Laplacian Equations with Sign-Changing Potential and Nonlinearity
Cheng, Bitao
Tang, Xianhua
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (05) : 3373 - 3387
[9] New Existence of Solutions for the Fractional p-Laplacian Equations with Sign-Changing Potential and Nonlinearity
Bitao Cheng
Xianhua Tang
[J]. Mediterranean Journal of Mathematics, 2016, 13 : 3373 - 3387
[10] SIGN-CHANGING SOLUTIONS OF p-LAPLACIAN EQUATION WITH A SUB-LINEAR NONLINEARITY AT INFINITY
Xu, Xian
Xu, Bin
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,

← 1 2 3 4 5 →