40 citations · 107 across the 10 of their papers we have counts for
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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…
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…