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

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

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.

源语言	英语
文章编号	67
期刊	Calculus of Variations and Partial Differential Equations
卷	64
期	2
DOI	https://doi.org/10.1007/s00526-024-02924-0
出版状态	已出版 - 3月 2025

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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",

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

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