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Séminaire d'Analyse
# Regularity properties of n-Laplace systems with antisymmetric potentials.

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Europe/Paris

Amphi Schwartz
#### Amphi Schwartz

Description

Natural generalizations of minimal surfaces and prescribed mean curvature surfaces in higher dimension, are given by n-harmonic maps and their variations such as H-systems. These maps are governed by n-Laplace systems with antisymmetric potentials. Regularity properties of those systems are difficult to obtain for two reasons : first because the leading order operator is nonlinear and second because the system is critical from the point of view of the standard regularity theory. I will discuss some progress obtained in a joint work with Armin Schikorra.