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^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	2333-2357
Number of pages	25
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	34
Issue number	5
DOIs	https://doi.org/10.3934/dcds.2014.34.2333
State	Published - May 2014

Keywords

Blow up
Boundary layer
Clustered interior bubbles
Lyapunov-Schmidt reduction

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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",

volume = "34",

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

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publisher = "American Institute of Mathematical Sciences",

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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

Abstract

Keywords

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