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Author:

Bao, Jiguang (Bao, Jiguang.) | Li, Yimei (Li, Yimei.) | Liu, Zixiao (Liu, Zixiao.)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we study the local behavior of positive solutions near the boundary singularity to the fourth order Lane-Emden equations. By a blow-up analysis and the Liouville theorem, we derive an upper bound and the boundary Harnack inequality. Then we establish a generalized B & ocirc;cher theorem and give a classification of the boundary isolated singularity.

Keyword:

Author Community:

  • [ 1 ] [Bao, Jiguang]Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
  • [ 2 ] [Li, Yimei]Beijing Jiaotong Univ, Sch Math & Stat, Beijing 100044, Peoples R China
  • [ 3 ] [Liu, Zixiao]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Li, Yimei]Beijing Jiaotong Univ, Sch Math & Stat, Beijing 100044, Peoples R China

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Source :

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

ISSN: 0944-2669

Year: 2025

Issue: 2

Volume: 64

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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