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This article is cited in 5 scientific papers (total in 5 papers)
Removable singularities of solutions of second-order divergence-form elliptic equations
A. V. Pokrovskii Institute of Mathematics, Ukrainian National Academy of Sciences
Abstract:
Let $L$ be a uniformly elliptic linear second-order differential operator in divergence form with bounded measurable coefficients in a bounded domain $G\subset\mathbb R^n$ $(n\geqslant2)$. In this paper, we introduce subclasses of the Sobolev class $W^{1,2}(G)_{\text{loc}}$ containing generalized solutions of the equation $Lu=0$ such that the closed sets of nonisolated removable singular points for such solutions can be described completely in terms of Hausdorff measures.
Received: 17.10.2003
Citation:
A. V. Pokrovskii, “Removable singularities of solutions of second-order divergence-form elliptic equations”, Mat. Zametki, 77:3 (2005), 424–433; Math. Notes, 77:3 (2005), 391–399
Linking options:
https://www.mathnet.ru/eng/mzm2503https://doi.org/10.4213/mzm2503 https://www.mathnet.ru/eng/mzm/v77/i3/p424
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Abstract page: | 468 | Full-text PDF : | 201 | References: | 60 | First page: | 1 |
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