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arXiv · 1911.10039

Fractional optimal maximization problem and the unstable fractional obstacle problem

Julian Fernandez Bonder·Zhiwei Cheng·Hayk Mikayelyan
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Abstract

We consider an optimal rearrangement maximization problem involving the fractional Laplace operator $(-\Delta)^s$, $0 0$ $$(-\Delta)^s u=\chi_{\{u>\alpha\}}.$$

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Julian Fernandez Bonder, Zhiwei Cheng, Hayk Mikayelyan. 2019-11-22. Fractional optimal maximization problem and the unstable fractional obstacle problem. https://arxiv.org/abs/1911.10039

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