Hopf-Oleinik引理的一个反例(椭圆情形)
A counterexample to the Hopf-Oleinik lemma (elliptic case)
摘要:
我们构造了一个新的反例,证实了$Ω$边界的Dini型条件的尖锐性。特别地,我们证明了对于凸区域,Dini型假设是保证Hopf-Oleinik型估计的充要条件.
英文摘要:
We construct a new counterexample confirming the sharpness of the Dini-type condition for the boundary of $Ω$. In particular, we show that for convex domains the Dini-type assumption is the necessary and sufficient condition which guarantees the Hopf-Oleinik type estimates.
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