H-convergence of multiplication operators implies nonlocal H-convergence for arbitrary dimensions and more general differential operators without extra structural assumptions.
Asymptotics for the resolvent equation associated to the ga me- theoreticp-laplacian, Appl
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For 0 ≤ α < β+1 and β ≤ 2α, the weighted perimeter ∫ y^α ds is minimized among sets of fixed weighted measure ∬ y^β dx dy in R²₊ by an explicit y-axis symmetric set.
Provides an asymptotic mean-value characterization for viscosity solutions of the normalized p-Laplacian on Carnot groups.
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The Free Lunch Theorem of Homogenisation
H-convergence of multiplication operators implies nonlocal H-convergence for arbitrary dimensions and more general differential operators without extra structural assumptions.
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Some isoperimetric inequalities with respect to monomial weights
For 0 ≤ α < β+1 and β ≤ 2α, the weighted perimeter ∫ y^α ds is minimized among sets of fixed weighted measure ∬ y^β dx dy in R²₊ by an explicit y-axis symmetric set.
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Variational approach to the asymptotic mean-value property for the p-Laplacian on Carnot groups
Provides an asymptotic mean-value characterization for viscosity solutions of the normalized p-Laplacian on Carnot groups.