Vectorial absolute minimisers of k-th order supremal functionals satisfy max_U H = max_∂U H for open subdomains U, with an existence result for the Dirichlet problem.
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Energy maximum principle for vectorial higher order absolute minimisers
Vectorial absolute minimisers of k-th order supremal functionals satisfy max_U H = max_∂U H for open subdomains U, with an existence result for the Dirichlet problem.