CRITICAL SCHROEDINGER–HARDY SYSTEMS IN THE HEISENBERG GROUP

PATRIZIA PUCCI

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CRITICAL SCHROEDINGER–HARDY SYSTEMS IN THE HEISENBERG GROUP

机译：Heisenberg集团的关键Schroedinger-Hardy系统

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The paper is focused on existence of nontrivial solutions of a Schr odinger–Hardy system in the Heisenberg group, involving critical nonlinearities. Existence is obtained by an application of the mountain pass theorem and the Ekeland variational principle, but there are several difficulties arising in the framework of Heisenberg groups, also due to the presence of the Hardy terms as well as critical nonlinearities.

机译：本文专注于海森伯格集团在海安伯格群体中施拉巷指硬化系统的非竞争解决方案的存在。存在的存在是通过山地通过定理和ekeland变分原理获得的，但是在Heisenberg组的框架中出现了几个困难，同时也是由于哈基术语的存在以及临界非线性的存在。

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《Discrete and continuous dynamical systems▼hSeries S》 |2019年第2期|375-400|共26页
作者
PATRIZIA PUCCI;
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作者单位

Department of Mathematics and Informatics University of Perugia Via Vanvitelli 1 06123 Perugia Italy;

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原文格式 PDF
正文语种 eng
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关键词
Heisenberg group; entire solutions; Schroedinger–Hardy systems; subelliptic critical systems;

机译：海森伯格集团;整个解决方案;施罗德格哈迪系统;底形关键系统;

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1. Existence Problems on Heisenberg Groups Involving Hardy and Critical Terms [J] . The Journal of geometric analysis . 2020,第2期

机译：Heisenberg群体涉及HARDY和批评术语的存在问题
2. Schrodinger-Hardy systems involving two Laplacian operators in the Heisenberg group [J] . Bordoni Sara, Pucci Patrizia Bulletin des sciences mathematiques . 2018,第期

机译：Schrodinger-Hardy系统涉及Heisenberg集团的两个拉普拉斯运营商
3. Hardy-Littlewood-Sobolev and Stein-Weiss inequalities and integral systems on the Heisenberg group [J] . Han X., Lu G., Zhu J. Nonlinear Analysis: An International Multidisciplinary Journal . 2012,第11期

机译：海森堡群上的Hardy-Littlewood-Sobolev和Stein-Weiss不等式和积分系统
4. Weak-universal critical behavior and quantum critical point of the exactly soluble spin-1/2 Ising-Heisenberg model with the pair XYZ Heisenberg and quartic Ising interactions [C] . Jozef Strecka, Lucia Canova, Kazuhiko Minami Conference on Statistical Physics . 2009

机译：弱通用的关键行为和量子临界点与对XYZ Heisenberg和四季互动的一对XYZ Heisenberg模型
5. Nodal geometry of eigenfunctions on smooth manifolds and Hardy-Littlewood-Sobolev inequalities on the Heisenberg group [D] . Han, Xiaolong. 2012

机译：HEISENBERG集团的光滑歧管和HARDY-LOTEWOOD-SOBOLEV INSENCENTING的康老几何形状
6. Quantum criticality in the spin-1/2 Heisenberg chain system copper pyrazine dinitrate [O] . Oliver Breunig, Markus Garst, Andreas Klümper, 2017

机译：自旋1/2 Heisenberg链系统中的量子临界性吡嗪二硝酸铜
7. Critical Schrödinger-Hardy systems in the Heisenberg group [O] . Patrizia Pucci 2019

机译：Heisenberg集团的关键Schrödinger-Hardy系统

CRITICAL SCHROEDINGER–HARDY SYSTEMS IN THE HEISENBERG GROUP

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