Asymptotic behaviors of normalized ground states for fractional Schrödinger equations

被引：0

作者：

Lei, Jun ^{[1
]}

Chen, Chunliu ^{[2
]}

Wang, Yue ^{[2
]}

机构：

[1] Guizhou Univ, Sch Math & Stat, Guiyang 550025, Peoples R China

[2] Guizhou Minzu Univ, Sch Data Sci & Informat Engn, Guiyang 550025, Peoples R China

来源：

ARCHIV DER MATHEMATIK | 2025年 / 124卷 / 01期

关键词：

Fractional Schr & ouml; dinger equation; Ground states; Logarithmic nonlinearity; SCHRODINGER-EQUATION; EXISTENCE;

D O I：

10.1007/s00013-024-02069-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article concerns a connection between the fractional Schr & ouml;dinger equation and the logarithmic fractional Schr & ouml;dinger equation. By rescaling and the constrained minimization method, we prove the asymptotic behaviors of normalized ground states for two equations.

引用

页码：109 / 120

页数：12

共 19 条

[1] Convergence from power-law to logarithm-law in nonlinear fractional Schrodinger equations
An, Xiaoming
Yang, Xian
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2023, 64 (01)
[2] Existence and stability of standing waves for nonlinear fractional Schrodinger equation with logarithmic nonlinearity
Ardila, Alex H.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 155 : 52 - 64
[3] Normalized bound state solutions of fractional Schrodinger equations with general potential
Bao, Xin
Lv, Ying
Ou, Zeng-Qi
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024,
[4] On the Fractional NLS Equation and the Effects of the Potential Well's Topology
Cingolani, Silvia
Gallo, Marco
[J]. ADVANCED NONLINEAR STUDIES, 2021, 21 (01) : 1 - 40
[5] On logarithmic Sobolev inequalities for higher order fractional derivatives
Cotsiolis, A
Tavoularis, NK
[J]. COMPTES RENDUS MATHEMATIQUE, 2005, 340 (03) : 205 - 208
[6] Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: A unified approach via fractional De Giorgi classes
Cozzi, Matteo
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 272 (11) : 4762 - 4837
[7] Fractional logarithmic Schrodinger equations
d'Avenia, Pietro
Squassina, Marco
Zenari, Marianna
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (18) : 5207 - 5216
[8] Positive solutions of the nonlinear Schrodinger equation with the fractional Laplacian
Felmer, Patricio
Quaas, Alexander
Tan, Jinggang
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2012, 142 (06) : 1237 - 1262
[9] Uniqueness of Radial Solutions for the Fractional Laplacian
Frank, Rupert L.
Lenzmann, Enno
Silvestre, Luis
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2016, 69 (09) : 1671 - 1726
[10] Uniqueness of non-linear ground states for fractional Laplacians in
Frank, Rupert L.
Lenzmann, Enno
[J]. ACTA MATHEMATICA, 2013, 210 (02) : 261 - 318

← 1 2 →