Open AccessQuasilinear elliptic equations with BMO coefficients in Lipschitz domains
Author(s) -
SunSig Byun,
Lihe Wang
Publication year - 2007
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/s0002-9947-07-04238-9
Subject(s) - algorithm , annotation , lipschitz continuity , mathematics , computer science , artificial intelligence , mathematical analysis
We obtain a global W 1 , q W^{1,q} estimate for the weak solution to an elliptic partial differential equation of p p -Laplacian type with BMO coefficients in a Lipschitz domain with small Lipschitz constant.