13 citations · 30 across the 8 of their papers we have counts for
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math.AP2012
Infinity-Minimal Submanifolds
Nikolaos I. Katzourakis
We identify the Variational Principle governing inifinity-Harmonic maps, that is solutions to the Infinity-Laplacian. The system was first derived in the limit of the p-Laplacian a…
math.AP2010★ 13 cited
Explicit Singular Viscosity Solutions of the Aronsson Equation
Nikolaos I. Katzourakis
We establish that when n >= 2 and H is a C^1 Hamiltonian such that some level set contains a line segment, the Aronsson equation admits explicit entire viscosity solutions. They ar…
math.AP2008
Maximum Principles for Vectorial Approximate Minimizers of Nonconvex Functionals
Nikolaos I. Katzourakis
We establish Maximum Principles which apply to vectorial approximate minimizers of the general integral functional of Calculus of Variations. Our main result is a version of the Co…