On the number of interior peaks of solutions to a non-autonomous singularly perturbed Neumann problem

Chunyi Zhao

doi:10.1017/S0308210507001229

On the number of interior peaks of solutions to a non-autonomous singularly perturbed Neumann problem

Chunyi 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

1 引用（Scopus）

摘要

We study the following non-autonomous singularly perturbed Neumann problem: where the index p is subcritical and a(x) is a positive smooth function in. We show that, given small enough, there exists a K() such that, for any positive integer K K(), there always exists a solution with K interior peaks concentrating at a strict sth-order local minimum point of a.

源语言	英语
页（从-至）	427-448
页数	22
期刊	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
卷	139
期	2
DOI	https://doi.org/10.1017/S0308210507001229
出版状态	已出版 - 4月 2009

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AB - We study the following non-autonomous singularly perturbed Neumann problem: where the index p is subcritical and a(x) is a positive smooth function in. We show that, given small enough, there exists a K() such that, for any positive integer K K(), there always exists a solution with K interior peaks concentrating at a strict sth-order local minimum point of a.

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M3 - 文章

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On the number of interior peaks of solutions to a non-autonomous singularly perturbed Neumann problem

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