Akseli Haarala

most citedThe electrostatic Born-Infeld equations with integrable charge densities

3 citations · 3 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2022

Global second order Sobolev-regularity of $p$ -harmonic functions

Akseli Haarala, Saara Sarsa

We prove a global version of the classical result that $p$ -harmonic functions belong to $W_{l oc}^{2, 2}$ for $1 < p < 3 + \frac{2}{n - 2}$ . The proof relies on Cordes' matrix inequalities […

math.AP2020★ 3 cited

The electrostatic Born-Infeld equations with integrable charge densities

Akseli Haarala

We study the minimizer of the electrostatic Born--Infeld energy \begin{equation*} \int_{\mathbb{R}^n}1-\sqrt{1-|D v|^2}\ dx-\int_{\mathbb{R}^n}ρv\ dx, \end{equation*} which vanishe…

Global second order Sobolev-regularity of p-harmonic functions

The electrostatic Born-Infeld equations with integrable charge densities

Global second order Sobolev-regularity of $p$ -harmonic functions