Luis Caffarelli, Gonzalo Davila
Published 2016-04-15Version 1
We study the regularity of solutions of elliptic fractional systems of order 2s, $s \in (0, 1)$, where the right hand side f depends on a nonlocal gradient and has the same scaling properties as the nonlocal operator. Under some structural conditions on the system we prove interior H\"older estimates in the spirit of [1]. Our results are stable in s allowing us to recover the classic results for elliptic systems due to S. Hildebrandt and K. Widman [6] and M. Wiegner [9].
Global estimates and energy identities for elliptic systems with antisymmetric potentials
Asymptotic analysis for elliptic systems in a narrow region
Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions
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