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math.AP2022
Local Regularity of very weak -harmonic functions via fractional difference quotients
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1
The aim of this paper is to give a new proof that any very weak -harmonic function in the unit ball is smooth. As a first step, we improve the local summability properti…
math.AP2022★ 1 cited
Mean value formulas for classical solutions to some degenerate elliptic equations in Carnot groups
Diego Pallara, Sergio Polidoro
We prove surface and volume mean value formulas for classical solutions to uniformly elliptic equations in divergence form with Hölder continuous coefficients. The kernels appearin…