云南师范大学学报(自然科学版)2024,Vol.44Issue(1):17-22,6.DOI:10.7699/j.ynnu.ns-2024-005
一类拟线性Schrödinger方程L2约束解的多重性
Multiplicity of L2 Constraint Solutions for a Class of Quasilinear Schrödinger Equations
摘要
Abstract
By using a new deformation argument,the multiplicity of normalized solutions of the follow-ing quasilinear Schrödinger equation {-Δu+μu-Δ(u2)u=|u|p-2u,x∈ℝ3,∫ℝ3|u|2dx=m was concerned,wherem>0 is the given constant,μ∈ℝis the Lagrange multiplier,and 2<p<4.关键词
拟线性方程/L2约束解的多重性/新的形变理论Key words
Quasilinear equation/Multiplicity of L2 constraint solutions/New deformation argument分类
数理科学引用本文复制引用
彭玉碧,杨先勇..一类拟线性Schrödinger方程L2约束解的多重性[J].云南师范大学学报(自然科学版),2024,44(1):17-22,6.基金项目
国家自然科学基金资助项目(12161091). (12161091)