Local behavior of fractional $p$-minimizers
Agnese Di Castro, Tuomo Kuusi, Giampiero Palatucci
TL;DR
This paper extends classical regularity theory to nonlocal fractional p-minimizers, providing new insights into their local behavior and regularity properties.
Contribution
It introduces an extension of De Giorgi-Nash-Moser theory to nonlocal, possibly degenerate integro-differential operators, broadening the understanding of fractional p-minimizers.
Findings
Established regularity results for fractional p-minimizers.
Extended classical theory to nonlocal operators.
Provided new tools for analyzing degenerate integro-differential equations.
Abstract
We extend the De Giorgi-Nash-Moser theory to nonlocal, possibly degenerate integro-differential operators.
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