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^*

^*Corresponding author for this work

School of Mathematical Sciences

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

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	427-448
Number of pages	22
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	139
Issue number	2
DOIs	https://doi.org/10.1017/S0308210507001229
State	Published - Apr 2009

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abstract = "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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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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JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

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

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

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