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混合色散非线性薛定谔方程的无穷多非径向解

何菊花

数学杂志2025,Vol.45Issue(4):307-321,15.
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.

数学杂志

0255-7797

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