Normalized solutions of L2-supercritical NLS equations on compact metric graphs

被引：14

作者：

Chang, Xiaojun ^{[1
,2
]}

Jeanjean, Louis ^{[3
]}

Soave, Nicola ^{[4
]}

机构：

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

[2] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Jilin, Peoples R China

[3] Univ Franche Comte, Lab Math Besancon, UMR CNRS 6623, 16 Route Gray, F-25000 Besancon, France

[4] Univ Torino, Dipartimento Matemat Giuseppe Peano, I-10123 Turin, Italy

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2024年 / 41卷 / 04期

关键词：

Nonlinear Schr & ouml; dinger equations; L; 2-supercritical; compact metric graph; variational methods; PALAIS-SMALE SEQUENCES; NONLINEAR SCHRODINGER-EQUATIONS; GROUND-STATES; EXISTENCE; STABILITY; INFORMATION;

D O I：

10.4171/AIHPC/88

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the existence of non-trivial bound states of prescribed mass for the mass-supercritical nonlinear Schr & ouml;dinger equation on compact metric graphs. The investigation is based upon a min-max principle for some constrained functionals which combines the monotonicity trick and second-order information on the Palais-Smale sequences, and upon the blow-up analysis of bound states with prescribed mass and bounded Morse index.

引用

页码：933 / 959

页数：27

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