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arXiv · 1608.07715

On the Interior $W^{1,p}$ estimate of extension problem of fractional elliptic equation

Junrong Yan
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Abstract

In order to study Fractional operator, Caffarelli introduced the concept of extension problem. Hence, for any fractional elliptic operator, we get a degenerate elliptic equation. By studying the W^{1,p} regularity of extension problem, we can get several L^p estimate of solution of original fractional elliptic equation.

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Junrong Yan. 2016-08-27. On the Interior $W^{1,p}$ estimate of extension problem of fractional elliptic equation. https://arxiv.org/abs/1608.07715

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