13 citations · 30 across the 8 of their papers we have counts for
9 papers
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…
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…
A Holder Continuous Nowhere Improvable Function with Derivative Singular Distribution
Nikolaos I. Katzourakis
We present a class of functions in which is variant of the Knopp class of nowhere differentiable functions. We derive estimates which establish $\mathcal{K}…
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…
Global Embedding of Analytic Branes into ES Einstein MD Bulk Cosmology: Wormholes
Nikolaos I. Katzourakis
Extends results of math-ph/0407067
On the Global Embedding of Spacetime into Singular ES Einstein Manifolds: Wormholes
Nikolaos I. Katzourakis
Extends results of math-ph/0407067
Global Embedding of Analytic Branes into Einstein MD Bulk Cosmology
Nikolaos I. Katzourakis
Extends results of math-ph/0407067
The Global Embedding Problem of Semi-Riemannian into Einstein Manifolds
Nikolaos I. Katzourakis
We show that every analytic semi-Riemannian manifold can be isometrically embeddded into an Einstein maifold in co-dimension one.
The Riemann Surface of the Logarithm Constructed in a Geometrical Framework
Nikolaos I. Katzourakis
The logarithmic Riemann surface Sigma_{log} is a classical holomorphic 1-manifold. It lives into R^4 and induces a covering space of C - 0 defined by exp. This paper suggests a geo…