Soliton Solutions for a Singular Schrodinger Equation with Any Growth Exponents

被引：2

作者：

Liu, Jiayin ^{[1
,2
]}

Liu, Duchao ^{[2
]}

Zhao, Peihao ^{[2
]}

机构：

[1] Beifang Univ Nationalities, Sch Math & Informat Sci, Yinchuan 750021, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2017年 / 148卷 / 01期

关键词：

Quasilinear Schrodinger equation; Singular equation; Critical or supercritical exponent; Variational methods; Moser iteration technique; LINEAR ELLIPTIC-EQUATIONS; HOLDER LOCAL MINIMIZERS; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; PERTURBATION METHOD; MULTIPLE SOLUTIONS; EXISTENCE; PLASMA; NONLINEARITIES; SOBOLEV;

D O I：

10.1007/s10440-016-0084-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a kind of quasilinear Schrodinger equation with combined nonlinearities, a convex term with any growth and a singular term, in a bounded smooth domain. Multiplicity results are obtained by critical point theory together with truncation arguments and the method of upper and lower solutions.

引用

页码：179 / 199

页数：21

共 50 条

[21] Breathers and Soliton Solutions for a Generalization of the Nonlinear Schrodinger Equation
Zhang, Hai-Feng
Hao, Hui-Qin
Zhang, Jian-Wen
MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
[22] Exact Soliton Solutions to a Generalized Nonlinear Schrodinger Equation
Xu Si-Liu
Liang Jian-Chu
Yi Lin
COMMUNICATIONS IN THEORETICAL PHYSICS, 2010, 53 (01) : 159 - 165
[23] Soliton and breather solutions of the modified nonlinear Schrodinger equation
Zhang, Hai-Qiang
Zhai, Bao-Guo
Wang, Xiao-Li
PHYSICA SCRIPTA, 2012, 85 (01)
[24] SOLITON SOLUTIONS FOR A QUASILINEAR SCHRODINGER EQUATION WITH CRITICAL EXPONENT
Huang, Wentao
Xiang, Jianlin
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2016, 15 (04) : 1309 - 1333
[25] Novel soliton solutions of the nonlinear Schrodinger equation model
Serkin, VN
Hasegawa, A
PHYSICAL REVIEW LETTERS, 2000, 85 (21) : 4502 - 4505
[26] On the degenerate soliton solutions of the focusing nonlinear Schrodinger equation
Li, Sitai
Biondini, Gino
Schiebold, Cornelia
JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (03)
[27] Soliton solutions of the nonlinear Schrodinger equation with defect conditions
Gruner, K. T.
NONLINEARITY, 2021, 34 (09) : 6017 - 6049
[28] NODAL SOLUTIONS FOR A GENERALIZED QUASILINEAR SCHRODINGER EQUATION WITH CRITICAL EXPONENTS
Cheng, Kun
Deng, Yinbin
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (01) : 77 - 103
[29] Comparison of soliton solutions of the nonlinear Schrodinger equation and the nonlinear amplitude equation
Dakova, A.
Dakova, D.
Kovachev, L.
18TH INTERNATIONAL SCHOOL ON QUANTUM ELECTRONICS: LASER PHYSICS AND APPLICATIONS, 2015, 9447
[30] CONCENTRATING SOLITON SOLUTIONS FOR QUASILINEAR SCHRODINGER EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS
He, Yi
Li, Gongbao
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (02) : 731 - 762

← 1 2 3 4 5 →