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The set of $p$-harmonic functions in $B_{1}$ is total in $C^{k}(\bar{B}_{1})$

Published 1 Jun 2019 in math.CA | (1906.00268v1)

Abstract: Let $(-\Delta_{p}){s}$, with $0<s<1<p<\infty$, be the fractional $p$-Laplacian operator. We prove that the span of $p$-harmonic functions in $B_{1}$ is dense in $C{k}(\bar{B}_{1})$.

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