Bubbling solutions for the Liouville equation with a singular source: Non-simple blow-up

DAprile Teresa; Wei Juncheng

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Bubbling solutions for the Liouville equation with a singular source: Non-simple blow-up

机译：具有单数源的Liouville方程的冒泡解决方案：非简单爆炸

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摘要

We are concerned with the existence of blowing-up solutions to the following boundary value problem

机译：我们关心以下边值问题爆破解的存在性

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来源
《Journal of Functional Analysis》 |2020年第6期|共38页
作者
DAprile Teresa; Wei Juncheng;
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作者单位

Univ Roma Tor Vergata Dipartimento Matemat Via Ric Sci 1 I-00133 Rome Italy;

Univ British Columbia Dept Math Vancouver BC V6T 1Z2 Canada;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Singular Liouville equation; Non-simple blow-up; Finite-dimensional reduction;

机译：奇异的Liouville方程;非简单的爆炸;有限维减少;

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专利

1. Solutions to the Complex Korteweg-de Vries Equation: Blow-up Solutions and Non-Singular Solutions [J] . SUN Ying-Ying, YUAN Juan-Ming, ZHANG Da-Jun 理论物理通讯（英文版） . 2014,第004期
2. ON THE EXISTENCE WITH EXPONENTIAL DECAY AND THE BLOW-UP OF SOLUTIONS FOR COUPLED SYSTEMS OF SEMI-LINEAR CORNER-DEGENERATE PARABOLIC EQUATIONS WITH SINGULAR POTENTIALS [J] . Hua CHEN, Nian LIU 数学物理学报（英文版） . 2021,第001期
3. Blow-Up of Solutions for a Singular Nonlocal Viscoelastic Equation [J] . WU Shuntang 偏微分方程：英文版 . 2011,第002期
4. Blow-Up of Solutions for a Singular Nonlocal Viscoelastic Equation [J] . WU Shuntang 偏微分方程：英文版 . 2011,第002期
5. Blow-up phenomena for the Liouville equation with a singular source of integer multiplicity [J] . DAprile Teresa Journal of Differential Equations . 2019,第11期

机译：Liouville方程的爆炸现象，具有单数源的整数多样性
6. Multiple Blow-Up Solutions for the Liouville Equation with Singular Data [J] . Daprile T. Communications in Partial Differential Equations . 2013,第7a9期

机译：具有奇异数据的Liouville方程的多重爆破解
7. BUBBLING SOLUTIONS FOR THE LIOUVILLE EQUATION AROUND A QUANTIZED SINGULARITY IN SYMMETRIC DOMAINS [J] . DAprile Teresa Communications on pure and applied analysis . 2021,第1期

机译：对称畴围绕量化奇异性的Liouville方程的起泡解
8. MORSE INDICES AND THE NUMBER OF BLOW UP POINTS OF BLOWING-UP SOLUTIONS FOR A LIOUVILLE EQUATION WITH SINGULAR DATA [C] . Futoshi Takahashi AIMS International Conference on Dynamical Systems, Differential Equations and Applications . 2013

机译：摩尔斯索引与奇异数据吹杆方程爆炸解决方案的爆炸点数
9. On a Hardy type inequality and a singular Sturm-Liouville equation. [D] . Wang, Hui. 2014

机译：关于Hardy型不等式和奇异Sturm-Liouville方程。
10. Blow-up of solutions of nonlinear wave equations in three space dimensions [O] . Fritz John 1979

机译：三维空间中非线性波动方程解的爆破
11. Blow-up phenomena for the Liouville equation with a singular source of integer multiplicity [O] . Teresa DAprile 2019

机译：具有单数源的Liouville方程的爆炸现象
12. On a Problem of Herman Weyl in the Theory of Singular Strum Liouville Equations [R] . N. Aronszajn 1956

机译：关于奇异strum Liouville方程理论中的Herman Weyl问题

Bubbling solutions for the Liouville equation with a singular source: Non-simple blow-up

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