Normalized Ground State Solutions of Nonlinear Schrodinger Equations Involving Exponential Critical Growth

被引：18

作者：

Chang, Xiaojun ^{[1
]}

Liu, Manting ^{[1
]}

Yan, Duokui ^{[2
]}

机构：

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

[2] Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Normalized ground state solutions; Nonlinear Schrodinger equations; Exponential critical growth; Constrained minimization method; Trudinger-Moser inequality; EXISTENCE;

D O I：

10.1007/s12220-022-01130-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We are concerned with the following nonlinear Schrodinger equation: u +.u = f (u) in R2, u. H1(R2), R2 u2dx =., where. > 0 is given,.. R arises as a Lagrange multiplier and f satisfies an exponential critical growth. Without assuming the Ambrosetti-Rabinowitz condition, we show the existence of normalized ground state solutions for any. > 0. The proof is based on a constrained minimization method and the Trudinger-Moser inequality in R2.

引用

页数：20

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