QUASILINEAR ELLIPTIC EQUATIONS WITH BMO COEFFICIENTS IN LIPSCHITZ DOMAINS

Sun-Sig BYUN; LIHE WANG

doi:10.1090/S0002-9947-07-04238-9

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QUASILINEAR ELLIPTIC EQUATIONS WITH BMO COEFFICIENTS IN LIPSCHITZ DOMAINS

Journal article

Open access

Peer reviewed

QUASILINEAR ELLIPTIC EQUATIONS WITH BMO COEFFICIENTS IN LIPSCHITZ DOMAINS

Sun-Sig BYUN and LIHE WANG

Transactions of the American Mathematical Society, Vol.359(12), pp.5899-5913

2007

DOI: 10.1090/S0002-9947-07-04238-9

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Abstract

We obtain a global W1,q estimate for the weak solution to an elliptic partial differential equation of p-Laplacian type with BMO coefficients in a Lipschitz domain with small Lipschitz constant. © 2007 American Mathematical Society.

Mathematics

Numerical Analysis

Partial Differential Equations

Numerical analysis. Scientific computation

Mathematical analysis

Exact sciences and technology

Partial differential equations, boundary value problems

Partial differential equations, initial value problems and time-dependant initial-boundary value problems

Sciences and techniques of general use

Details

Title: Subtitle: QUASILINEAR ELLIPTIC EQUATIONS WITH BMO COEFFICIENTS IN LIPSCHITZ DOMAINS
Creators: Sun-Sig BYUN - DEPARTMENT OF MATHEMATICAL SCIENCES, SEOUL NATIONAL UNIVERSITY, Seoul 151-747, Korea, Republic of
LIHE WANG - DEPARTMENT OF MATHEMATICS, UNIVERSITY OF IOWA, Iowa City, Iowa 52242, United States
Resource Type: Journal article
Publication Details: Transactions of the American Mathematical Society, Vol.359(12), pp.5899-5913
DOI: 10.1090/S0002-9947-07-04238-9
ISSN: 0002-9947
eISSN: 1088-6850
Publisher: American Mathematical Society
Language: English
Date published: 2007
Academic Unit: Mathematics
Record Identifier: 9984083251202771

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