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math.AP2019
Asymptotic Mean Value Laplacian in Metric Measure Spaces
Andreas Minne, David Tewodrose
We use the mean value property in an asymptotic way to provide a notion of a pointwise Laplacian, called AMV Laplacian, that we study in several contexts including the Heisenberg g…
math.AP2019
Optimal Regularity of Solutions to No-Sign Obstacle-Type Problems for the Sub-Laplacian
Valentino Magnani, Andreas Minne
We establish the optimal interior regularity of solutions to \[ Δ_{H}u=fχ_{\{u\ne0\}}, \] where denotes the sub-Laplacian operator in a stratified group. We a…