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arXiv · 1906.00268

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

José Villa-Morales
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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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José Villa-Morales. 2019-06-01. The set of $p$-harmonic functions in $B_{1}$ is total in $C^{k}(\bar{B}_{1})$. https://arxiv.org/abs/1906.00268

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