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arXiv · 1904.10121

On Lp-viscosity solutions of bilateral obstacle problems with unbounded ingredients

Shigeaki Koike·Shota Tateyama
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Abstract

The global equi-continuity estimate on Lp-viscosity solutions of bilateral obstacle problems with unbounded ingredients is established when obstacles are merely continuous. The existence of Lp-viscosity solutions is established via an approximation of given data. The local Hölder continuity estimate on the first derivative of Lp-viscosity solutions is shown when the obstacles belong to C^{1,β}, and p>n.

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Shigeaki Koike, Shota Tateyama. 2019-04-23. On Lp-viscosity solutions of bilateral obstacle problems with unbounded ingredients. https://arxiv.org/abs/1904.10121

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