A note on global regularity for the weak solutions of fractional p-Laplacian equations

A note on global regularity for the weak solutions of fractional p-Laplacian equations
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DOI：
10.4171/rlm/719
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发表时间：
2015-04
期刊：
arXiv: Analysis of PDEs
影响因子：
--
通讯作者：
A. Iannizzotto;S. Mosconi;M. Squassina
A. Iannizzotto;S. Mosconi;M. Squassina
中科院分区：
其他
文献类型：
--
作者：
A. Iannizzotto;S. Mosconi;M. Squassina

文献摘要

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考虑一类反应项有界的分数阶p-拉普拉斯算子驱动的边值问题。通过障碍参数,我们证明H \“老规律弱解的边界,无论是单数(1 2)的情况。
We consider a boundary value problem driven by the fractional p-Laplacian operator with a bounded reaction term. By means of barrier arguments, we prove H\"older regularity up to the boundary for the weak solutions, both in the singular (1 2) case.