E. Lindgren

activity

20112022

most citedThe

\infty

-harmonic potential is not always an

\infty

-eigenfunction

1 citations · 2 across the 5 of their papers we have counts for

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Showing 2018 · math.APShow all

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math.AP2018

Lipschitz regularity for a homogeneous doubly nonlinear PDE

Ryan Hynd, Erik Lindgren

We study the doubly nonlinear PDE $∣ \partial_{t} u ∣^{p - 2} \partial_{t} u - div (∣\nabla u ∣^{p - 2} \nabla u) = 0.$ This equation arises in the study of extremals of Poincaré ineq…

math.AP2018

Infinity-Harmonic Potentials and Their Streamlines

Erik Lindgren, Peter Lindqvist

We consider certain solutions of the Infinity-Laplace Equation in planar convex rings. Their ascending streamlines are unique while the descending ones may bifurcate. We prove that…