2 citations · 2 across the 2 of their papers we have counts for
4 papers
Fully nonlinear free boundary problems: optimal boundary regularity beyond convexity
Damião J. Araújo, Andreas Minne, Edgard A. Pimentel
We study a general class of elliptic free boundary problems equipped with a Dirichlet boundary condition. Our primary result establishes an optimal -regularity estimate fo…
Symmetrized and non-symmetrized Asymptotic Mean Value Laplacian in metric measure spaces
Andreas Minne, David Tewodrose
The asymptotic mean value Laplacian - AMV Laplacian - extends the Laplace operator from to metric measure spaces through limits of averaging integrals. The AMV Lapla…
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…
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…