Saara Sarsa

activity

20202025

most citedNote on an elementary inequality and its application to the regularity of

p

-harmonic functions

1 citations · 2 across the 7 of their papers we have counts for

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Showing 2022 · math.APShow all

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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 […

Global second order Sobolev-regularity of p-harmonic functions

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