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math.NA2021
A finite difference method for the variational -Laplacian
Félix del Teso, Erik Lindgren
We propose a new monotone finite difference discretization for the variational -Laplace operator, \[ Δ_p u=\text{div}(|\nabla u|^{p-2}\nabla u), \] and present a convergent nume…
math.AP2021
On -Ground States in the Plane
Erik Lindgren, Peter Lindqvist
We study -Ground states in convex domains in the plane. In a polygon, the points where an -Ground state does not satisfy the -Laplace Equation are character…