On nonlinear Schrodinger equations on the hyperbolic space

被引：1

作者：

Cencelj, Matija ^{[1
,2
,3
]}

Farago, Istvan ^{[4
,5
,7
]}

Horvath, Robert ^{[6
,7
]}

Repovs, Dusan D. ^{[1
,2
,3
]}

机构：

[1] Univ Ljubljana, Fac Educ, Ljubljana, Slovenia

[2] Univ Ljubljana, Fac Math & Phys, Ljubljana, Slovenia

[3] Inst Math Phys & Mech, Ljubljana, Slovenia

[4] Budapest Univ Technol & Econ, Dept Differential Equat, Budapest, Hungary

[5] Eotvos Lorand Univ, Dept Appl Anal & Computat Math, Budapest, Hungary

[6] Budapest Univ Technol & Econ, Dept Anal, Budapest, Hungary

[7] MTA ELTE NumNet Res Grp, Budapest, Hungary

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 492卷 / 02期

关键词：

Schrodinger equation; Poincare ball model; Palais principle; Laplace-Beltrami operator; Hadamard manifold; Kirchhoff-type problem; CRITICAL-POINT THEOREM; ELLIPTIC PROBLEMS; EXISTENCE; COMPACTNESS; MULTIPLICITY; BOUNDARY; SOBOLEV; SYSTEMS;

D O I：

10.1016/j.jmaa.2020.124516

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study existence of weak solutions for certain classes of nonlinear Schrodinger equations on the Poincare ball model B-N, N >= 3. By using the Palais principle of symmetric criticality and suitable group theoretical arguments, we establish the existence of a nontrivial (weak) solution. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：12

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