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Bounds of singular sets for elliptic equations in $C^{1, Dini}$ domains with singular potentials

Wang, Zhiwei et al.
arXiv (All) · Papers
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We study the quantitative codimension-two estimate for the singular set in the boundary neighborhoods of the solutions of \begin{equation*} Δu+V(x)u=0\qquad\text{in }Ω, \qquad u=0\qquad\text{on }\partialΩ, \end{equation*} where $Ω\subset\mathbb R^n$ is a bounded $C^{1,\mathrm{Dini}}$ domain and $V\i
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