NORMALIZED GROUND STATE SOLUTIONS FOR NONLINEAR SCHRODINGER EQUATIONS WITH GENERAL SOBOLEV CRITICAL NONLINEARITIES

被引：2

作者：

Liu, Manting ^{[1
]}

Chang, Xiaojun ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年

关键词：

Normalized solutions; nonlinear Schrodinger equation; Sobolev critical growth; variational methods; ORBITAL STABILITY; STANDING WAVES;

D O I：

10.3934/dcdss.2024035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. This paper is concerned with the existence of normalized solutions for nonlinear Schrodinger equations. The nonlinearity has a Sobolev critical growth at infinity but does not satisfy the Ambrosetti-Rabinowitz condition. By analysing the monotonicity of the ground state energy with respect to the prescribed mass c, we employ the constrained minimization approach and concentration-compactness principle to establish the existence of normalized ground state solutions for all c > 0.

引用

页数：16

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