Symmetry of positive solutions to biharmonic Lane–Emden equation with singular set

Xia Huang; Yuan Li; Xianmei Zhou

doi:10.1007/s00526-024-02924-0

Symmetry of positive solutions to biharmonic Lane–Emden equation with singular set

Xia Huang^*
, Yuan Li
, Xianmei Zhou

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

Abstract

In this paper, we are devoted to studying the positive weak, punctured or distributional solutions to the biharmonic Lane–Emden equation (Formula presented.) where N≥5, 1<p≤N+4N-4, and the singular set Z represents a closed and proper subset of x1=0. The symmetry and monotonicity properties of the singular solutions will be given by taking advantage of the moving plane method and the approach of moving spheres.

Original language	English
Article number	67
Journal	Calculus of Variations and Partial Differential Equations
Volume	64
Issue number	2
DOIs	https://doi.org/10.1007/s00526-024-02924-0
State	Published - Mar 2025

Access to Document

10.1007/s00526-024-02924-0

Cite this

@article{c514560531334b6896a00c3ff152075c,

title = "Symmetry of positive solutions to biharmonic Lane–Emden equation with singular set",

abstract = "In this paper, we are devoted to studying the positive weak, punctured or distributional solutions to the biharmonic Lane–Emden equation (Formula presented.) where N≥5, 1",

author = "Xia Huang and Yuan Li and Xianmei Zhou",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2025.",

year = "2025",

month = mar,

doi = "10.1007/s00526-024-02924-0",

language = "英语",

volume = "64",

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

issn = "0944-2669",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Symmetry of positive solutions to biharmonic Lane–Emden equation with singular set

AU - Huang, Xia

AU - Li, Yuan

AU - Zhou, Xianmei

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2025.

PY - 2025/3

Y1 - 2025/3

N2 - In this paper, we are devoted to studying the positive weak, punctured or distributional solutions to the biharmonic Lane–Emden equation (Formula presented.) where N≥5, 1

AB - In this paper, we are devoted to studying the positive weak, punctured or distributional solutions to the biharmonic Lane–Emden equation (Formula presented.) where N≥5, 1

UR - https://www.scopus.com/pages/publications/85218117428

U2 - 10.1007/s00526-024-02924-0

DO - 10.1007/s00526-024-02924-0

M3 - 文章

AN - SCOPUS:85218117428

SN - 0944-2669

VL - 64

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 2

M1 - 67

ER -

Symmetry of positive solutions to biharmonic Lane–Emden equation with singular set

Abstract

Access to Document

Other files and links

Fingerprint

Cite this