Solutions with boundary layer and positive peak for an elliptic Dirichlet problem

Gongbao Li; Jianfu Yang; Shusen Yan

doi:10.1017/S0308210500003322

Solutions with boundary layer and positive peak for an elliptic Dirichlet problem

Gongbao Li, Jianfu Yang, Shusen Yan

Mathematics

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3 Citations (Scopus)

Abstract

In this paper, we study existence of solutions with boundary layer and peaks for an elliptic problem. We prove that the problem has a mountain-pass-type solution, which has a boundary layer and a single peak near the boundary. Moreover, we also study the existence of solutions with interior peak.

Original language	English
Pages (from-to)	515-536
Journal	Proceedings of the Royal Society of Edinburgh. Section A: Mathematics
Volume	134A
Issue number	3
DOIs	https://doi.org/10.1017/S0308210500003322
Publication status	Published - 2004

Keywords

Ordinary Differential Equations, Difference Equations and Dynamical Systems

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10.1017/S0308210500003322

https://hdl.handle.net/1959.11/3611

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title = "Solutions with boundary layer and positive peak for an elliptic Dirichlet problem",

abstract = "In this paper, we study existence of solutions with boundary layer and peaks for an elliptic problem. We prove that the problem has a mountain-pass-type solution, which has a boundary layer and a single peak near the boundary. Moreover, we also study the existence of solutions with interior peak.",

keywords = "Ordinary Differential Equations, Difference Equations and Dynamical Systems",

author = "Gongbao Li and Jianfu Yang and Shusen Yan",

year = "2004",

doi = "10.1017/S0308210500003322",

language = "English",

volume = "134A",

pages = "515--536",

journal = "Proceedings of the Royal Society of Edinburgh. Section A: Mathematics",

issn = "0308-2105",

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number = "3",

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TY - JOUR

T1 - Solutions with boundary layer and positive peak for an elliptic Dirichlet problem

AU - Li, Gongbao

AU - Yang, Jianfu

AU - Yan, Shusen

PY - 2004

Y1 - 2004

N2 - In this paper, we study existence of solutions with boundary layer and peaks for an elliptic problem. We prove that the problem has a mountain-pass-type solution, which has a boundary layer and a single peak near the boundary. Moreover, we also study the existence of solutions with interior peak.

AB - In this paper, we study existence of solutions with boundary layer and peaks for an elliptic problem. We prove that the problem has a mountain-pass-type solution, which has a boundary layer and a single peak near the boundary. Moreover, we also study the existence of solutions with interior peak.

KW - Ordinary Differential Equations, Difference Equations and Dynamical Systems

UR - https://www.scopus.com/pages/publications/3242710531

U2 - 10.1017/S0308210500003322

DO - 10.1017/S0308210500003322

M3 - Article

SN - 0308-2105

VL - 134A

SP - 515

EP - 536

JO - Proceedings of the Royal Society of Edinburgh. Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh. Section A: Mathematics

IS - 3

ER -

Solutions with boundary layer and positive peak for an elliptic Dirichlet problem

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