Minimizing sequences of variational problems with small parameters

Ming Kang Ni; Wu Zhong Lin

doi:10.1007/s10483-009-0603-z

Minimizing sequences of variational problems with small parameters

Ming Kang Ni^*
, Wu Zhong Lin

^*此作品的通讯作者

数学科学学院

East China Normal University
Shanghai Jiao Tong University

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

A class of variational problems with small parameters is studied. Their zeroth-order asymptotic solutions are constructed. It is shown that the zeroth-order asymptotic solution is just the minimizing sequence of variational problems as the small parameter approaches to zero.

源语言	英语
页（从-至）	695-701
页数	7
期刊	Applied Mathematics and Mechanics (English Edition)
卷	30
期	6
DOI	https://doi.org/10.1007/s10483-009-0603-z
出版状态	已出版 - 6月 2009

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title = "Minimizing sequences of variational problems with small parameters",

abstract = "A class of variational problems with small parameters is studied. Their zeroth-order asymptotic solutions are constructed. It is shown that the zeroth-order asymptotic solution is just the minimizing sequence of variational problems as the small parameter approaches to zero.",

keywords = "Minimizing sequence, Small parameter, Variational problem",

author = "Ni, \{Ming Kang\} and Lin, \{Wu Zhong\}",

year = "2009",

month = jun,

doi = "10.1007/s10483-009-0603-z",

language = "英语",

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AU - Lin, Wu Zhong

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N2 - A class of variational problems with small parameters is studied. Their zeroth-order asymptotic solutions are constructed. It is shown that the zeroth-order asymptotic solution is just the minimizing sequence of variational problems as the small parameter approaches to zero.

AB - A class of variational problems with small parameters is studied. Their zeroth-order asymptotic solutions are constructed. It is shown that the zeroth-order asymptotic solution is just the minimizing sequence of variational problems as the small parameter approaches to zero.

KW - Minimizing sequence

KW - Small parameter

KW - Variational problem

UR - https://www.scopus.com/pages/publications/67649921940

U2 - 10.1007/s10483-009-0603-z

DO - 10.1007/s10483-009-0603-z

M3 - 文章

AN - SCOPUS:67649921940

SN - 0253-4827

VL - 30

SP - 695

EP - 701

JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

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Minimizing sequences of variational problems with small parameters

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