SIGN-CHANGING SOLUTIONS FOR A PARAMETER-DEPENDENT QUASILINEAR EQUATION

被引：7

作者：

Liu, Jiaquan ^{[1
]}

Liu, Xiangqing ^{[2
]}

Wang, Zhi-Qiang ^{[3
]}

机构：

[1] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

[2] Yunnan Normal Univ, Dept Math, Kunming 650500, Yunnan, Peoples R China

[3] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2021年 / 14卷 / 05期

关键词：

Quasilinear elliptic equation; sign-changing solutions; truncation techniques; SCHRODINGER-EQUATIONS; ELLIPTIC-EQUATIONS; SOLITON-SOLUTIONS; NODAL SOLUTIONS;

D O I：

10.3934/dcdss.2020454

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider quasilinear elliptic equations, including the following Modified Nonlinear Schrodinger Equation as a special example: {Delta u + 1/2 u Delta u(2) + lambda vertical bar u vertical bar(r-2 )u = 0, in Omega, u = 0 on partial derivative Omega, where Omega subset of R-N (N >= 3) is a bounded domain with smooth boundary, lambda > 0, r is an element of (2,4). We prove as lambda becomes large the existence of more and more sign-changing solutions of both positive and negative energies.

引用

页码：1779 / 1799

页数：21

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