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

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3 papers · 1 filter

math.AP2014★ 10 cited

Hölder estimates for viscosity solutions of equations of fractional $p$ -Laplace type

Erik Lindgren

We prove Hölder estimates for viscosity solutions of a class of possibly degenerate and singular equations modelled by the fractional $p$ -Laplace equation $$ \text{PV} \int_{\mathb…

math.AP2014

A doubly nonlinear evolution for the optimal Poincaré inequality

Ryan Hynd, Erik Lindgren

We study the large time behavior of solutions of the PDE $∣ v_{t} ∣^{p - 2} v_{t} = Δ_{p} v$ . A special property of this equation is that the Rayleigh quotient $\int_Ω|Dv(x,t)|^pdx /\int_Ω|v(x,…

math.AP2014

Optimal regularity for the obstacle problem for the $p$ -Laplacian

John Andersson, Erik Lindgren, Henrik Shahgholian

In this paper we discuss the obstacle problem for the $p$ -Laplace operator. We prove optimal growth results for the solution. Of particular interest is the point-wise regularity of…

Hölder estimates for viscosity solutions of equations of fractional p-Laplace type

A doubly nonlinear evolution for the optimal Poincaré inequality

Optimal regularity for the obstacle problem for the p-Laplacian

Hölder estimates for viscosity solutions of equations of fractional $p$ -Laplace type

Optimal regularity for the obstacle problem for the $p$ -Laplacian