2 papers
math.AP2016
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…
math.AP2013
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…