2π-periodic self-similar solutions for the anisotropic affine curve shortening problem

Meiyue Jiang; Liping Wang; Juncheng Wei

doi:10.1007/s00526-010-0375-6

2π-periodic self-similar solutions for the anisotropic affine curve shortening problem

Meiyue Jiang^*
, Liping Wang
, Juncheng Wei

^*此作品的通讯作者

数学科学学院

Peking University
Chinese University of Hong Kong

科研成果: 期刊稿件 › 文章 › 同行评审

27 引用（Scopus）

摘要

We study the existence of 2π-periodic positive solutions of the equation u + u = a()u³ where a() is a positive smooth 2π-periodic function. A priori estimates and sufficient conditions for the existence of solutions of the equation are established.

源语言	英语
页（从-至）	535-565
页数	31
期刊	Calculus of Variations and Partial Differential Equations
卷	41
期	3-4
DOI	https://doi.org/10.1007/s00526-010-0375-6
出版状态	已出版 - 7月 2011

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title = "2π-periodic self-similar solutions for the anisotropic affine curve shortening problem",

abstract = "We study the existence of 2π-periodic positive solutions of the equation u + u = a()u3 where a() is a positive smooth 2π-periodic function. A priori estimates and sufficient conditions for the existence of solutions of the equation are established.",

author = "Meiyue Jiang and Liping Wang and Juncheng Wei",

year = "2011",

month = jul,

doi = "10.1007/s00526-010-0375-6",

language = "英语",

volume = "41",

pages = "535--565",

journal = "Calculus of Variations and Partial Differential Equations",

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TY - JOUR

T1 - 2π-periodic self-similar solutions for the anisotropic affine curve shortening problem

AU - Jiang, Meiyue

AU - Wang, Liping

AU - Wei, Juncheng

PY - 2011/7

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N2 - We study the existence of 2π-periodic positive solutions of the equation u + u = a()u3 where a() is a positive smooth 2π-periodic function. A priori estimates and sufficient conditions for the existence of solutions of the equation are established.

AB - We study the existence of 2π-periodic positive solutions of the equation u + u = a()u3 where a() is a positive smooth 2π-periodic function. A priori estimates and sufficient conditions for the existence of solutions of the equation are established.

UR - https://www.scopus.com/pages/publications/79956259177

U2 - 10.1007/s00526-010-0375-6

DO - 10.1007/s00526-010-0375-6

M3 - 文章

AN - SCOPUS:79956259177

SN - 0944-2669

VL - 41

SP - 535

EP - 565

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 3-4

ER -

2π-periodic self-similar solutions for the anisotropic affine curve shortening problem

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