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

被引：11
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
收藏
页码：933 / 959
页数：27
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