数学杂志2025,Vol.45Issue(4):307-321,15.
混合色散非线性薛定谔方程的无穷多非径向解
MULTIPLE NON-RADIAL SOLUTIONS TO A MIXED DISPERSION NONLINEAR SCHRÖDINGER EQUATION
何菊花1
作者信息
- 1. 云南师范大学数学学院,云南 昆明 650500
- 折叠
摘要
Abstract
In this thesis,we consider the existence of solutions for the following mixed dis-persion nonlinear Schrödinger equation△2u-β△u-λ/2△(u2)u=g(u) in RN,(1)where g:R →R is a continuous function,λ≥0,β≥0.We shall prove that(1)has multiple non-radial solutions by variational method.This paper provides a method to prove compactness for the study of the mixed dispersion nonlinear Schrödinger equation with quasilinear terms.关键词
多重性/非径向解/拟线性问题/四阶算子Key words
multiplicity/non-radial solutions/Quasilinar problem/fourth-order operator分类
数理科学引用本文复制引用
何菊花..混合色散非线性薛定谔方程的无穷多非径向解[J].数学杂志,2025,45(4):307-321,15.