E. Lindgren

activity

20112019

most citedThe

\infty

-harmonic potential is not always an

\infty

-eigenfunction

1 citations · 1 across the 3 of their papers we have counts for

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math.AP2012★ 1 cited

The $\infty$ -harmonic potential is not always an $\infty$ -eigenfunction

Erik Lindgren

In this note we prove that there is a convex domain for which the $\infty$ -harmonic potential is not a first $\infty$ -eigenfunction.

math.AP2012

Optimal Regularity for the parabolic No-Sign Obstacle Problem

John Andersson, Erik Lindgren, Henrik Shahgholian

We study the parabolic free boundary problem of obstacle type $$ \lap u-\frac{\partial u}{\partial t}= fχ_{u\ne 0}. $$ Under the condition that $f = H v$ for some function $v$ with bo…

The ∞-harmonic potential is not always an ∞-eigenfunction

Optimal Regularity for the parabolic No-Sign Obstacle Problem

The $\infty$ -harmonic potential is not always an $\infty$ -eigenfunction