Solutions with clustered bubbles and a boundary layer of an elliptic problem

Liping Wang; Chunyi Y. Zhao

doi:10.3934/dcds.2014.34.2333

Solutions with clustered bubbles and a boundary layer of an elliptic problem

Liping Wang
, Chunyi Y. Zhao^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

We study positive solutions of the equation [equation presented] where ε > 0 is small, with Neumann boundary condition in a unit ball B R ³. We prove the existence of solutions with multiple interior bubbles near the center and a boundary layer. The method may also be used to the case n = 4,5 and get the analogous results.

源语言	英语
页（从-至）	2333-2357
页数	25
期刊	Discrete and Continuous Dynamical Systems- Series A
卷	34
期	5
DOI	https://doi.org/10.3934/dcds.2014.34.2333
出版状态	已出版 - 5月 2014

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10.3934/dcds.2014.34.2333

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title = "Solutions with clustered bubbles and a boundary layer of an elliptic problem",

abstract = "We study positive solutions of the equation [equation presented] where ε > 0 is small, with Neumann boundary condition in a unit ball B R 3. We prove the existence of solutions with multiple interior bubbles near the center and a boundary layer. The method may also be used to the case n = 4,5 and get the analogous results.",

keywords = "Blow up, Boundary layer, Clustered interior bubbles, Lyapunov-Schmidt reduction",

author = "Liping Wang and Zhao, \{Chunyi Y.\}",

year = "2014",

month = may,

doi = "10.3934/dcds.2014.34.2333",

language = "英语",

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journal = "Discrete and Continuous Dynamical Systems- Series A",

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T1 - Solutions with clustered bubbles and a boundary layer of an elliptic problem

AU - Wang, Liping

AU - Zhao, Chunyi Y.

PY - 2014/5

Y1 - 2014/5

N2 - We study positive solutions of the equation [equation presented] where ε > 0 is small, with Neumann boundary condition in a unit ball B R 3. We prove the existence of solutions with multiple interior bubbles near the center and a boundary layer. The method may also be used to the case n = 4,5 and get the analogous results.

AB - We study positive solutions of the equation [equation presented] where ε > 0 is small, with Neumann boundary condition in a unit ball B R 3. We prove the existence of solutions with multiple interior bubbles near the center and a boundary layer. The method may also be used to the case n = 4,5 and get the analogous results.

KW - Blow up

KW - Boundary layer

KW - Clustered interior bubbles

KW - Lyapunov-Schmidt reduction

UR - https://www.scopus.com/pages/publications/84886484229

U2 - 10.3934/dcds.2014.34.2333

DO - 10.3934/dcds.2014.34.2333

M3 - 文章

AN - SCOPUS:84886484229

SN - 1078-0947

VL - 34

SP - 2333

EP - 2357

JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 5

ER -

Solutions with clustered bubbles and a boundary layer of an elliptic problem

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