Acta mathematica scientia, Series B >
A REMARK ON THE REGULARITY OF VECTOR-VALUED MAPPINGS DEPENDING ON TWO VARIABLES WHICH MINIMIZE SPLITTING-TYPE VARIATIONAL INTEGRALS
Received date: 2007-09-12
Revised date: 2008-08-19
Online published: 2010-05-20
We combine the maximum principle for vector-valued mappings established by D'Ottavio, Leonetti and Musciano [7] with regularity results from [5] and prove the Holder continuity of the first derivatives for local minimizers u: Ω→RN of splitting-type variational integrals provided Ω is a domain in R2.
M. Bildhauer , M. Fuchs . A REMARK ON THE REGULARITY OF VECTOR-VALUED MAPPINGS DEPENDING ON TWO VARIABLES WHICH MINIMIZE SPLITTING-TYPE VARIATIONAL INTEGRALS[J]. Acta mathematica scientia, Series B, 2010 , 30(3) : 963 -967 . DOI: 10.1016/S0252-9602(10)60093-8
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