Concentrating solutions for an anisotropic elliptic problem with large exponent

Liping Wang; Dong Ye

doi:10.3934/dcds.2015.35.3771

Concentrating solutions for an anisotropic elliptic problem with large exponent

数学科学学院

Université de Lorraine

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

We consider the following anisotropic boundary value problem [equation presented] where ω ∈ R² is a bounded smooth domain, p is a large exponent and a(x) is a positive smooth function. We investigate the effect of anisotropic coefficient a(x) on the existence of concentrating solutions. We show that at a given strict local maximum point of a(x), there exist arbitrarily many concentrating solutions.

源语言	英语
页（从-至）	3771-3797
页数	27
期刊	Discrete and Continuous Dynamical Systems- Series A
卷	35
期	8
DOI	https://doi.org/10.3934/dcds.2015.35.3771
出版状态	已出版 - 1 8月 2015

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AB - We consider the following anisotropic boundary value problem [equation presented] where ω ∈ R2 is a bounded smooth domain, p is a large exponent and a(x) is a positive smooth function. We investigate the effect of anisotropic coefficient a(x) on the existence of concentrating solutions. We show that at a given strict local maximum point of a(x), there exist arbitrarily many concentrating solutions.

KW - Anisotropic elliptic problem

KW - Large exponent

KW - Multi-bubble concentration

UR - https://www.scopus.com/pages/publications/84923769945

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DO - 10.3934/dcds.2015.35.3771

M3 - 文章

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Concentrating solutions for an anisotropic elliptic problem with large exponent

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