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

^*Corresponding author for this work

School of Mathematical Sciences

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

26 Scopus citations

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.

Original language	English
Pages (from-to)	535-565
Number of pages	31
Journal	Calculus of Variations and Partial Differential Equations
Volume	41
Issue number	3-4
DOIs	https://doi.org/10.1007/s00526-010-0375-6
State	Published - Jul 2011

Access to Document

10.1007/s00526-010-0375-6

Cite this

@article{b61fd626cb8549558bb99140f389f99e,

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",

issn = "0944-2669",

publisher = "Springer New York",

number = "3-4",

}

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

Y1 - 2011/7

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this