The subelliptic ∞-Laplace system on Carnot–Carathéodory spaces

DOI10.1515/anona-2013-0004zbMath1277.35141arXiv1303.0240OpenAlexW149372404MaRDI QIDQ2851158

Nikolaos I. Katzourakis

Publication date: 10 October 2013

Published in: anona (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.0240

zbMATH Keywords

vector-valued calculus of variations in \(L^\infty\)subelliptic \(\infty\)-Laplacian

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Rigidity results (53C24) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

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On the Structure of ∞-Harmonic Maps ⋮ Partial interior regularity for sub-elliptic systems with dini continuous coefficients in Carnot groups: the sub-quadratic controllable case ⋮ Explicit 2D \(\infty\)-harmonic maps whose interfaces have junctions and corners ⋮ Existence and uniqueness of global strong solutions to fully nonlinear second order elliptic systems ⋮ Absolutely minimising generalised solutions to the equations of vectorial calculus of variations in \(L^\infty \) ⋮ Optimal ∞-Quasiconformal Immersions ⋮ Nonuniqueness in vector-valued calculus of variations in \(L^\infty\) and some linear elliptic systems

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