8 citations · 17 across the 6 of their papers we have counts for
7 papers
Regularity of minimizing -harmonic maps into spheres and sharp Kato inequality
Katarzyna Mazowiecka, Michał Miśkiewicz
We study regularity of minimizing -harmonic maps for in the interval . For a long time, regularity was known only for (essenti…
Regularity for solutions of H-systems and n-harmonic maps with n/2 square integrable derivatives
Michał Miśkiewicz, Bogdan Petraszczuk, Paweł Strzelecki
We study the regularity of weak solutions for two elliptic systems involving the -Laplacian and a critical nonlinearity in the right hand side: -systems and -harmonic maps…
On the size of the singular set of minimizing harmonic maps into the 2-sphere in dimension four and higher
Katarzyna Mazowiecka, Michał Miśkiewicz, Armin Schikorra
We extend the results of our recent preprint [arXiv: 1811.00515] into higher dimensions . For minimizing harmonic maps from -dimensional…
On the size of the singular set of minimizing harmonic maps
Katarzyna Mazowiecka, Michał Miśkiewicz, Armin Schikorra
We consider minimizing harmonic maps from into a closed Riemannian manifold and prove: (1) an extension to of Almgren and Lieb'…
On Hölder regularity of the singular set of energy minimizing harmonic maps into closed manifolds
Michał Miśkiewicz
Energy minimizing harmonic maps between manifolds are known to be smooth outside a rectifiable set of codimension , called the singular set. The possibility that this set is not…
Fractional differentiability for solutions of the inhomogenous -Laplace system
Michał Miśkiewicz
It is shown that if and solves the inhomogenous -Laplace system \[ \operatorname{div} (|\nabla u|^{p-2} \nabla u) = f, \qquad f \in W^{…
Discrete Reifenberg-type theorem
M. Miśkiewicz
The paper proves that a bound on the averaged Jones' square function of a measure implies an upper bound on the measure. Various types of assumptions on the measure are considered.…