Lp-Estimates for General Nonlinear Elliptic Equations

Sun-Sig BYUN; LIHE WANG

doi:10.1512/iumj.2007.56.3034

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Lp-Estimates for General Nonlinear Elliptic Equations

Journal article

Peer reviewed

Lp-Estimates for General Nonlinear Elliptic Equations

Sun-Sig BYUN and LIHE WANG

Indiana University mathematics journal, Vol.56(6), pp.3193-3221

2007

DOI: 10.1512/iumj.2007.56.3034

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Abstract

We obtain an optimal W1,p, 2 ≤ p < ∞, regularity for the weak solutions of the conormal derivative problem for nonlinear elliptic equations of nonvariational type in Reifenberg domains.

Partial Differential Equations

Mathematics

Mathematical analysis

Exact sciences and technology

General, history and biography

General mathematics

Sciences and techniques of general use

Details

Title: Subtitle: Lp-Estimates for General Nonlinear Elliptic Equations
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, IA 52242, United States
Resource Type: Journal article
Publication Details: Indiana University mathematics journal, Vol.56(6), pp.3193-3221
Publisher: Indiana University
DOI: 10.1512/iumj.2007.56.3034
ISSN: 0022-2518
eISSN: 1943-5258
Language: English
Date published: 2007
Academic Unit: Mathematics
Record Identifier: 9984083240102771

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