E. Lindgren

activity

20112023

most citedHölder estimates for viscosity solutions of equations of fractional

p

-Laplace type

10 citations · 22 across the 18 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.AP2013

Regularity of the $p$ -Poisson equation in the plane

Erik Lindgren, Peter Lindqvist

We study the regularity of the $p$ -Poisson equation $Δ_{p} u = h, h \in L^{q}$ in the plane. In the case $p > 2$ and $2 < q < \infty$ we obtain the sharp Hölder exponent for the gra…

math.AP2013

The fractional Cheeger problem

Lorenzo Brasco, Erik Lindgren, Enea Parini

Given an open and bounded set $Ω \subset R^{N}$ , we consider the problem of minimizing the ratio between the $s -$ perimeter and the $N -$ dimensional Lebesgue measure among subse…

math.AP2013

Pointwise regularity of the free boundary for the parabolic obstacle problem

Erik Lindgren, Régis Monneau

We study the parabolic obstacle problem $$\lap u-u_t=fχ_{\{u>0\}}, \quad u\geq 0,\quad f\in L^p \quad \mbox{with}\quad f(0)=1$$ and obtain two monotonicity formulae, one that appli…

Regularity of the p-Poisson equation in the plane

The fractional Cheeger problem

Pointwise regularity of the free boundary for the parabolic obstacle problem

Regularity of the $p$ -Poisson equation in the plane