Existence and multiplicity of sign-changing solutions for supercritical quasi-linear Schro spacing diaeresis dinger equations

被引：0

作者：

Zhang, Xian ^{[1
]}

Huang, Chen ^{[2
]}

机构：

[1] Univ Shanghai Sci & Technol, Business Sch, Shanghai 200093, Peoples R China

[2] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2022年 / 31卷 / 02期

关键词：

Quasi-linear Schro?dinger equations; supercritical growth; variational methods; sign-changing solutions; invariant sets; CONCENTRATION-COMPACTNESS PRINCIPLE; SCHRODINGER-EQUATIONS; POSITIVE SOLUTIONS; SOLITON-SOLUTIONS; NODAL SOLUTIONS; CALCULUS;

D O I：

10.3934/era.2023032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper focuses on a class of supercritical, quasi-linear Schro center dot dinger equations. Based on the methods of invariant sets, some results about the existence and multiplicity of sign-changing solutions for supercritical equations are obtained.

引用

页码：656 / 674

页数：19

共 50 条

[1] INFINITELY MANY SIGN-CHANGING SOLUTIONS FOR AN ASYMPTOTICALLY LINEAR AND NONLOCAL SCHRO<spacing diaeresis>DINGER EQUATION
Qiu, Ruowen
You, Renqing
Zhao, Fukun
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2025, 2025 : 1 - 19
[2] Solutions for gauged nonlinear Schro<spacing diaeresis>dinger equations on R2 involving sign-changing potentials
Yuan, Ziqing
Zhao, Jing
AIMS MATHEMATICS, 2024, 9 (08): : 21337 - 21355
[3] INFINITELY MANY SIGN-CHANGING SOLUTIONS FOR THE QUASILINEAR SCHRO<spacing diaeresis>DINGER-POISSON SYSTEM
Ren, Shuo
Ye, Tiefeng
Zhang, Huixing
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2024, 37 (5-6) : 359 - 392
[4] NODAL SOLUTIONS OF QUASILINEAR SCHRO<spacing diaeresis>DINGER EQUATIONS IN RN
Jing, Yongtao
Liu, Haidong
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2024, 37 (9-10) : 647 - 670
[5] Multiplicity of sign-changing solutions for Kirchhoff-type equations
Cassani, Daniele
Liu, Zhisu
Tarsi, Cristina
Zhang, Jianjun
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 186 : 145 - 161
[6] Existence and multiplicity of sign-changing solutions for quasilinear Schrödinger-Poisson system
Du, Xin
Tang, Chun-Lei
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024,
[7] SIGN-CHANGING SOLUTIONS FOR SCHRDINGER EQUATIONS WITH VANISHING AND SIGN-CHANGING POTENTIALS
吴元泽
黄毅生
刘增
Acta Mathematica Scientia, 2014, 34 (03) : 691 - 702
[8] Multiplicity and existence of solutions for generalized quasilinear Schrodinger equations with sign-changing potentials
Huang, Chen
BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)
[9] Existence and multiplicity of solutions for general quasi-linear elliptic equations with sub-cubic nonlinearities
Huang, Chen
Zhang, Jianjun
Zhong, Xuexiu
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 531 (01)
[10] EXISTENCE OF POSITIVE SOLUTION FOR A CLASS OF QUASILINEAR SCHRO spacing diaeresis DINGER EQUATIONS WITH CRITICAL CHOQUARD NONLINEARITY
Rawat, S. U. S. H. M. I. T. A.
Konijeti, S. R. E. E. N. A. D. H.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2022,

← 1 2 3 4 5 →