3 papers
math.AP2026
Regularity of minimizing -harmonic maps from to
Katarzyna Mazowiecka, Michał Miśkiewicz, Patryk Tokarczuk
We prove that every minimizing -harmonic map from into is locally for some , for every , where $p_0=\frac{7-\sqrt{17}}{2}\approx…
math.AP2025
Vectorial Kato inequality for -harmonic maps with optimal constant
Andreas Gastel, Katarzyna Mazowiecka, Michał Miśkiewicz
We derive the sharp vectorial Kato inequality for -harmonic mappings. Surprisingly, the optimal constant differs from the one obtained for scalar valued -harmonic functions b…
math.AP2023
A new -harmonic map flow with Struwe monotonicity
Erik Hupp, Michał Miśkiewicz
We construct and analyze solutions to a regularized homogeneous -harmonic map flow equation for general . The homogeneous version of the problem is new and features a…