Regularity of a class of degenerate elliptic equations

Qiaozhen Song; Ying Lu; Jianzhong Shen; Lihe Wang

doi:10.2422/2036-2145.2011.3.05

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Regularity of a class of degenerate elliptic equations

Journal article

Open access

Regularity of a class of degenerate elliptic equations

Qiaozhen Song, Ying Lu, Jianzhong Shen and Lihe Wang

Annali della Scuola normale superiore di Pisa, Classe di scienze, Vol.10(3), pp.645-667

01/01/2011

DOI: 10.2422/2036-2145.2011.3.05

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Abstract

In the present paper we establish the W(1,P) type estimates for the weak solutions of a class of degenerate elliptic equations. The optimal estimates are obtained by introducing the intrinsic metric that is associated with the geometry of the operator and then using the compactness method.

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Physical Sciences

Science & Technology

Details

Title: Subtitle: Regularity of a class of degenerate elliptic equations
Creators: Qiaozhen Song - Xi An Jiao Tong Univ, Coll Sci, Shaanxi 710049, Peoples R China
Ying Lu - Jilin University
Jianzhong Shen - Xi An Jiao Tong Univ, Coll Sci, Shaanxi 710049, Peoples R China
Lihe Wang - Univ Iowa, Dept Math, Iowa City, IA 52246 USA
Resource Type: Journal article
Publication Details: Annali della Scuola normale superiore di Pisa, Classe di scienze, Vol.10(3), pp.645-667
DOI: 10.2422/2036-2145.2011.3.05
ISSN: 0391-173X
Publisher: SCUOLA NORMALE SUPERIORE
Number of pages: 23
Language: English
Date published: 01/01/2011
Academic Unit: Mathematics
Record Identifier: 9984240865902771

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