Acta mathematica scientia, Series B >
LOCAL REGULARITY RESULT IN OBSTACLE PROBLEMS
Received date: 2006-12-25
Revised date: 2008-04-21
Online published: 2010-01-20
Supported by
The first author is supported by NSF of Hebei Province (07M003). The fourth author is supported by NSFC (10771195), and NSF of Zhejiang Province (Y607128).
We obtain a local regularity result for solutions to Kψ，θ -obstacle problem of A-harmonic equation divA(x, u(x), ∨ u(x))=0, where A: Ω×R×Rn → Rn is a Carath\'eodory function satisfying some coercivity and growth conditions with the natural exponent 1<p<n, the obstacle function ψ≥0$, and the boundary data θ ∈W1, p(Ω).
Key words： local regularity; A-harmonic equation; obstacle problem
GAO Hong-ya , GUO Jing , ZUO Ya-Li , CHU Yu-Ming . LOCAL REGULARITY RESULT IN OBSTACLE PROBLEMS[J]. Acta mathematica scientia, Series B, 2010 , 30(1) : 208 -214 . DOI: 10.1016/S0252-9602(10)60038-0
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