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Quasilinear elliptic equations with BMO coefficients in Lipschitz domains
Author(s):
Sun-Sig
Byun;
Lihe
Wang
Journal:
Trans. Amer. Math. Soc.
359
(2007),
5899-5913.
MSC (2000):
Primary 35R05, 35R35;
Secondary 35J15, 35J25
Posted:
June 26, 2007
MathSciNet review:
2336309
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Additional information
Abstract:
We obtain a global  estimate for the weak solution to an elliptic partial differential equation of  -Laplacian type with BMO coefficients in a Lipschitz domain with small Lipschitz constant.
References:
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Additional Information:
Sun-Sig
Byun
Affiliation:
Department of Mathematical Sciences, Seoul National University, Seoul 151-747, Korea
Email:
byun@math.snu.ac.kr
Lihe
Wang
Affiliation:
Department of Mathematics, University of Iowa, Iowa City, Iowa 52242 -- and -- College of Sciences, Xian Jiaotong University, Xian 710049, People's Republic of China
Email:
lwang@math.uiowa.edu
DOI:
10.1090/S0002-9947-07-04238-9
PII:
S 0002-9947(07)04238-9
Keywords:
$W^{1,p}$ estimates,
quasilinear elliptic equations,
BMO space,
Lipschitz domain,
maximal function,
Vitali covering lemma
Received by editor(s):
August 5, 2005.
Posted:
June 26, 2007
Additional Notes:
The first author was supported in part by KRF-2005-003-C00016.
The second author was supported in part by NSF Grant \#0401261.
Copyright of article:
Copyright
2007,
American Mathematical Society
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