EXISTENCE OF INFINITELY MANY SOLUTIONS FOR FRACTIONAL p-LAPLACIAN EQUATIONS WITH SIGN-CHANGING POTENTIAL

被引：0

作者：

Zhang, Youpei ^{[1
]}

Tang, Xianhua ^{[1
]}

Zhang, Jian ^{[2
,3
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

[2] Hunan Univ Commerce, Sch Math & Stat, Changsha 410205, Hunan, Peoples R China

[3] Hunan Univ Commerce, Key Lab Hunan Prov Mobile Business Intelligence, Changsha 410205, Hunan, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年

关键词：

Fractional p-Laplacian; multiple solutions; variational methods; sign-changing potential; SCHRODINGER-EQUATIONS; MULTIPLE SOLUTIONS; WEAK SOLUTIONS; SEQUENCES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In his article, we prove the existence of infinitely many solutions for the fractional p-Laplacian equation (-Delta)(p)(s)u+ v(x)|u|(p-2)u = f (x, u), x is an element of R-N where s is an element of (0, 1), 2 <= p < infinity. Based on a direct sum decomposition of a space E-S, we investigate the multiplicity of solutions for the fractional p-Laplacian equation in R-N. The potential V is allowed to be sign-changing, and the primitive of the nonlinearity f is of super-p growth near infinity in u and allowed to be sign-changing. Our assumptions are suitable and different from those studied previously.

引用

页数：14

共 50 条

[21] Existence of sign-changing solutions to a Dirichlet problem with p-Laplacian and weights
Lin, Lishan
Li, Yongqing
ADVANCED NONLINEAR STUDIES, 2007, 7 (02) : 211 - 235
[22] The Existence and Non-Existence of Sign-Changing Solutions to Bi-Harmonic Equations with a p-Laplacian
Wenqing Wang
Anmin Mao
Acta Mathematica Scientia, 2022, 42 : 551 - 560
[23] THE EXISTENCE AND NON-EXISTENCE OF SIGN-CHANGING SOLUTIONS TO BI-HARMONIC EQUATIONS WITH A p-LAPLACIAN
Wang, Wenqing
Mao, Anmin
ACTA MATHEMATICA SCIENTIA, 2022, 42 (02) : 551 - 560
[24] THE EXISTENCE AND NON-EXISTENCE OF SIGN-CHANGING SOLUTIONS TO BI-HARMONIC EQUATIONS WITH A p-LAPLACIAN
王文清
毛安民
Acta Mathematica Scientia, 2022, 42 (02) : 551 - 560
[25] On sign-changing and multiple solutions of the p-Laplacian
Zhang, ZT
Li, SJ
JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 197 (02) : 447 - 468
[26] Existence of solutions for the fractional Kirchhoff equations with sign-changing potential
Guoqing Chai
Weiming Liu
Boundary Value Problems, 2018
[27] Existence of solutions for the fractional Kirchhoff equations with sign-changing potential
Chai, Guoqing
Liu, Weiming
BOUNDARY VALUE PROBLEMS, 2018,
[28] Existence of infinitely many solutions for double phase problem with sign-changing potential
Bin Ge
Zhi-Yuan Chen
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 3185 - 3196
[29] SIGN-CHANGING SOLUTIONS TO A CLASS OF NONLINEAR EQUATIONS INVOLVING THE p-LAPLACIAN
Wang, Wei-Chuan
Cheng, Yan-Hsiou
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2017, 47 (03) : 971 - 996
[30] Existence of multiple solutions for nonhomogeneous Schrodinger-Kirchhoff system involving the fractional p-Laplacian with sign-changing potential
Chen, Jianhua
Huang, Xianjiu
Zhu, Chuanxi
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (10) : 2725 - 2739

← 1 2 3 4 5 →