40 citations · 107 across the 10 of their papers we have counts for
11 papers
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…
Invitation to H-systems in higher dimensions: known results, new facts, and related open problems
Armin Schikorra, Paweł Strzelecki
In this paper, we discuss two well-known open problems in the regularity theory for nonlinear, conformally invariant elliptic systems in dimensions , with a critical nonlin…
Compactness and isotopy finiteness for submanifolds with uniformly bounded geometric curvature energies
Sławomir Kolasiński, Paweł Strzelecki, Heiko von der Mosel
In this paper, we establish compactness for various geometric curvature energies including integral Menger curvature, and tangent-point repulsive potentials, defined a priori on th…
A conditional regularity result for p-harmonic flows
Krystian Kazaniecki, Michał Łasica, Katarzyna Ewa Mazowiecka +1
We prove an -regularity result for a wide class of parabolic systems with the right hand side g…
The Lavrentiev gap phenomenon for harmonic maps into spheres holds on a dense set of zero degree boundary data
Katarzyna Mazowiecka, Paweł Strzelecki
We prove that for each positive integer the set of smooth, zero degree maps which have the following three properties: (1) there is a uniq…
Weak compactness of solutions for fourth order elliptic systems with critical growth
Paweł Goldstein, Paweł Strzelecki, Anna Zatorska-Goldstein
We consider a class of fourth order elliptic systems which include the Euler-Lagrange equations of biharmonic mappings in dimension 4 and we prove that weak limit of weak solutions…
On some knot energies involving Menger curvature
Paweł Strzelecki, Marta Szumańska, Heiko von der Mosel
We investigate knot-theoretic properties of geometrically defined curvature energies such as integral Menger curvature. Elementary radii-functions, such as the circumradius of thre…
Characterizing ~submanifolds by -integrability of global curvatures
Sławomir Kolasiński, Paweł Strzelecki, Heiko von der Mosel
We give sufficient and necessary geometric conditions, guaranteeing that an immersed compact closed manifold of class and of arbitrary dimension and codimen…
Tangent-point repulsive potentials for a class of non-smooth -dimensional sets in . Part I: Smoothing and self-avoidance effects
Pawel Strzelecki, Heiko von der Mosel
We consider repulsive potential energies $\E_q(Σ)$, whose integrand measures tangent-point interactions, on a large class of non-smooth -dimensional sets in Finitene…
Tangent-point self-avoidance energies for curves
Pawel Strzelecki, Heiko von der Mosel
We study a two-point self-avoidance energy which is defined for all rectifiable curves in as the double integral along the curve of . Here stands for the rad…
Integral Menger curvature for surfaces
Pawel Strzelecki, Heiko von der Mosel
We develop the concept of integral Menger curvature for a large class of nonsmooth surfaces. We prove uniform Ahlfors regularity and a -a-priori bound for surfaces for whi…