Special Session 82: Recent Advances in Nonlinear PDEs and Free Boundary Problems

Regularity results for n-Laplace systems with antisymmetric potential

Armin Schikorra
University of Pittsburgh
USA
Co-Author(s):    
Abstract:
n-Laplace systems with antisymmetric potential are known to govern geometric equations such as n-harmonic maps between manifolds and generalized prescribed H-surface equations. Due to the nonlinearity of the leading order n-Laplace and the criticality of the equation they are very difficult to treat. I will discuss some progress we obtained, combining stability methods by Iwaniec and nonlinear potential theory for vectorial equations by Kuusi-Mingione. Joint work with Dorian Martino