Nonlinear elliptic equations with BMO coefficients in Reifenberg domains期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Nonlinear elliptic equations with BMO coefficients in Reifenberg domains

Authors:	Sun-Sig Byun Lihe Wang Shulin Zhou

Affiliation:	^a Department of Mathematical Sciences, Seoul National University, Seoul 151-747, Korea ^b Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA ^c College of Sciences, Xian Jiaotong University, Xian 710049, China ^d LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China

Abstract:	We develop a unifying method to obtain the interior and boundary estimates for the weak solution of a nonlinear elliptic partial differential equation of p-Laplacian type with BMO coefficients in a δ-Reifenberg flat domain. Our results greatly improve the known results for such equations.

Keywords:	mmlsi1" onclick=" submitCitation('/science?_ob=MathURL& _method=retrieve& _eid=1-s2.0-S0022123607001802& _mathId=si1.gif& _pii=S0022123607001802& _issn=00221236& _acct=C000053510& _version=1& _userid=1524097& md5=42701d4196d70d607b27c6238f94db9e')" style=" cursor:pointer " alt=" Click to view the MathML source" title=" Click to view the MathML source" > formulatext" title=" click to view the MathML source" >W1,q estimates Nonlinear elliptic equations BMO space Reifenberg domain Maximal function Vitali covering lemma
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