| 关于拟凸泛函极小的部分正则性的一个注 |
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| 摘 要： | 本文给出了Acerbi—Fusco定理的一个新证明,指出证明拟凸泛函I(u,G)=f(▽u)dx,u∈W_P~1(G,E~N),P≥2,N>1极小的部分正则性可以不必利用W_P~1(G,E~N)中函数的逼近定理,也不需用到Radon测度的有关性质。
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| 关 键 词： | 拟凸泛函 Blow up技巧 正则性 |
A Remark on the partial Regularity for Minimizers of Quasiconvex Fumctionals |
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| Authors: | Liang Xiting Wang Xiangdong |
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| Institution: | Liang Xiting Wang Xiangdong |
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| Abstract: | It is showed in this paper that in order to prove the partial regulerity for minimiz- ers of quasiconvex functionals it is unnecessary using whether the approximation theo- rem for W_p~1(G,E~N)fumctions or the related property for the Radon weasures. |
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| Keywords: | quasiconvex functional minimizer blow up techmique partial regularity |
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