Nikos Katzourakis

发表

Generalised Solutions for Fully Nonlinear PDE Systems and Existence-Uniqueness Theorems

Nikos Katzourakis, 2015, 1501.06164.

An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L

Nikos Katzourakis, 2014 .

On the numerical approximation of $$\infty $$∞-harmonic mappings

Nikos Katzourakis, T. Pryer, 2015, 1511.01308.

On the numerical approximation of ∞ -harmonic mappings

Nikos Katzourakis, T. Pryer, 2016 .

Second-order L∞ variational problems and the ∞-polylaplacian

Nikos Katzourakis, T. Pryer, 2018 .

On Hamilton-Jacobi-Bellman Equations Arising in Deterministic and Stochastic Optimal Control with Vectorial Cost

Nikos Katzourakis, T. Pryer, 2014 .

A review from the PDE viewpoint of Hamilton-Jacobi-Bellman Equations Arising in Optimal Control with Vectorial Cost

Nikos Katzourakis, T. Pryer, 2014, 1409.8648.

Second Order $L^\infty$ Variational Problems and the $\infty$-Polylaplacian

Nikos Katzourakis, T. Pryer, 2016, 1605.07880.

On the numerical approximation of p‐biharmonic and ∞‐biharmonic functions

Nikos Katzourakis, T. Pryer, 2017, Numerical Methods for Partial Differential Equations.

Existence of Generalised Solutions to the Equations of Vectorial Calculus of Variations in $L^\infty$

Nikos Katzourakis, 2015 .

Existence of Generalised Solutions to the Equations of Vectorial Calculus of Variations in $L^\infty$

Nikos Katzourakis, 2015, 1502.01179.

Inverse Optical Tomography through PDE Constrained Optimization L∞

Nikos Katzourakis, 2018, SIAM J. Control. Optim..

Existence and uniqueness of global strong solutions to fully nonlinear second order elliptic systems

Nikos Katzourakis, 2016, Nonlinear Differential Equations and Applications NoDEA.

On the numerical approximation of vectorial absolute minimisers in L∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L

Nikos Katzourakis, T. Pryer, 2020, Nonlinear Differential Equations and Applications NoDEA.

On the numerical approximation of vectorial absolute minimisers in $$L^\infty $$

Nikos Katzourakis, T. Pryer, 2018, Nonlinear Differential Equations and Applications NoDEA.

Vectorial variational problems in $L^\infty$ constrained by the Navier-Stokes equations

E. Clark, B. Muha, Nikos Katzourakis, 2021, 2105.06547.

A Remark on Global $W^{1,p}$ Bounds for Harmonic Functions with Lipschitz Boundary Values

Nikos Katzourakis, 2016, 1601.00190.

Weak vs. 𝒟-solutions to linear hyperbolic first-order systems with constant coefficients

Nikos Katzourakis, 2015, Journal of Hyperbolic Differential Equations.

The eigenvalue problem for the $$\infty $$∞-Bilaplacian

E. Parini, Nikos Katzourakis, 2017, 1703.03648.

The eigenvalue problem for the ∞ -Bilaplacian

E. Parini, Nikos Katzourakis, 2017 .

Existence and uniqueness of global strong solutions to fully nonlinear second order elliptic systems

Nikos Katzourakis, 2014, Nonlinear Differential Equations and Applications NoDEA.

On the Dirichlet problem for fully nonlinear elliptic hessian systems

Nikos Katzourakis, 2014, 1411.4962.

Existence and uniqueness of global solutions to fully nonlinear second order elliptic systems

Nikos Katzourakis, 2018 .

Existence and Uniqueness of Global Solutions to Fully Nonlinear First Order Elliptic Systems

Nikos Katzourakis, 2014, 1408.0422.

Nonuniqueness in Vector-Valued Calculus of Variations in $L^\infty$ and some Linear Elliptic Systems

Nikos Katzourakis, 2013, 1304.5273.

Optimal infinity-quasiconformal immersions

Nikos Katzourakis, 2012, 1206.6039.

$\mathcal{D}$-solutions to the system of vectorial Calculus of Variations in $L^\infty$ via the singular value problem

G. Croce, Nikos Katzourakis, Giovanni Pisante, 2016, 1604.04385.

D-SOLUTIONS TO THE SYSTEM OF VECTORIAL CALCULUS OF VARIATIONS IN L ∞ VIA THE BAIRE CATEGORY METHOD FOR THE SINGULAR VALUES

G. Croce, Nikos Katzourakis, Giovanni Pisante, 2016 .

On the well-posedness of global fully nonlinear first order elliptic systems

Nikos Katzourakis, Hussien A. H. Abugirda, 2015, 1511.02809.

Generalised Solutions for Fully Nonlinear PDE Systems and Existence Theorems

Nikos Katzourakis, 2015 .

On the loss of compactness in the vectorial heteroclinic connection problem

Nikos Katzourakis, 2008, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

On a vector-valued generalisation of viscosity solutions for general PDE systems

Nikos Katzourakis, 2018, 1812.10069.

Lecture notes on Viscosity Solutions for fully nonlinear 2nd order PDE and applications to Calculus of Variations in $L^\infty$

Nikos Katzourakis, 2014, 1411.2567.

Variational problems in $L^\infty$ involving semilinear second order differential operators

R. Moser, Nikos Katzourakis, 2023, 2303.15982.

Generalised vectorial $\infty$-eigenvalue nonlinear problems for $L^\infty$ functionals

Nikos Katzourakis, 2021, 2103.15911.

Existence, Uniqueness and Structure of Second Order Absolute Minimisers

R. Moser, Nikos Katzourakis, 2018, Archive for Rational Mechanics and Analysis.

Rigidity and flatness of the image of certain classes of mappings having tangential Laplacian

Nikos Katzourakis, Birzhan Ayanbayev, Hussien A. H. Abugirda, 2017, Rocky Mountain Journal of Mathematics.

Solutions of vectorial Hamilton–Jacobi equations are rank-one absolute minimisers in L ∞ L^{\infty}

Nikos Katzourakis, 2016, 1604.00802.

Absolutely minimising generalised solutions to the equations of vectorial calculus of variations in L∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidem

Nikos Katzourakis, 2015, Calculus of Variations and Partial Differential Equations.

Vectorial variational problems in L ∞ constrained by the Navier–Stokes equations

E. Clark, B. Muha, Nikos Katzourakis, 2021, Nonlinearity.

D-SOLUTIONS TO THE SYSTEM OF VECTORIAL CALCULUS OF VARIATIONS IN L∞ VIA THE SINGULAR VALUE PROBLEM

Nikos Katzourakis, Giovanni Pisante, 2017 .

On isosupremic vectorial minimisation problems in L ∞ with general nonlinear constraints

E. Clark, Nikos Katzourakis, 2023, Advances in Calculus of Variations.

Vectorial Variational Principles in L∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^\infty $$\end{document} and Th

Nikos Katzourakis, Birzhan Ayanbayev, 2018, Applied Mathematics & Optimization.

Counterexamples in Calculus of Variations in $L^\infty$ through the vectorial Eikonal equation

Giles Shaw, Nikos Katzourakis, 2018, 1801.09756.

Existence, Uniqueness and Structure of Second Order Absolute Minimisers

R. Moser, Nikos Katzourakis, 2017, Archive for Rational Mechanics and Analysis.

A pointwise characterisation of the PDE system of vectorial calculus of variations in L∞

Nikos Katzourakis, Birzhan Ayanbayev, 2016, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Existence of 1D vectorial Absolute Minimisers in $L^\infty$ under minimal assumptions

Nikos Katzourakis, Hussien A. H. Abugirda, 2016, 1604.03068.

A New Characterisation of $\infty$-Harmonic and $p$-Harmonic Maps via Affine Variations in $L^\infty$

Nikos Katzourakis, 2015, 1509.01811.

Mollification of $\mathcal{D}$-solutions to Fully Nonlinear PDE Systems

Nikos Katzourakis, 2015, 1508.05519.

On linear degenerate elliptic PDE systems with constant coefficients

Nikos Katzourakis, 2015, 1502.02618.

Existence and uniqueness of global strong solutions to fully nonlinear second order elliptic systems

Nikos Katzourakis, 2014, Nonlinear Differential Equations and Applications NoDEA.

Solutions of vectorial Hamilton-Jacobi equations are rank-one Absolute Minimisers in L ∞ by Nikos Katzourakis

Nikos Katzourakis, 2016 .

On the Structure of ∞-Harmonic Maps

Nikos Katzourakis, Nikos Katzourakis, 2014 .

Optimal infinity-quasiconformal immersions

Nikos Katzourakis, 2012 .

Nonsmooth convex functionals and feeble viscosity solutions of singular Euler–Lagrange equations

Nikos Katzourakis, 2013, 1308.5918.

History, Examples, Motivation and First Definitions

Nikos Katzourakis, 2015 .

On isosupremic vectorial minimisation problems in $L^\infty$ with general nonlinear constraints

E. Clark, Nikos Katzourakis, 2022, 2202.12005.

A CHARACTERISATION OF ∞-HARMONIC AND p-HARMONIC MAPS VIA AFFINE VARIATIONS IN L∞

Nikos Katzourakis, 2017 .

Generalised second order vectorial $\infty$-eigenvalue problems

E. Clark, Nikos Katzourakis, 2023, 2303.05944.

A minimisation problem in L∞ with PDE and unilateral constraints

Nikos Katzourakis, 2018, ESAIM: Control, Optimisation and Calculus of Variations.

A new characterisation ∞-harmonic AND p-harmonic map↲s via affine variations in L∞

Nikos Katzourakis, 2017 .

A Pointwise Characterisation of the PDE System of Vectorial Calculus of Variations in $L^\infty$

Nikos Katzourakis, Birzhan Ayanbayev, 2016, 1611.05936.

Remarks on the validity on the maximum principle for the $\infty$-Laplacian

Nikos Katzourakis, J. Manfredi, 2014, 1412.4715.

On the numerical approximation of ∞ harmonic mappings the numerical approximation of ∞harmonic mappings.

Nikos Katzourakis, T. Pryer, 2018 .

Generalised solutions for fully nonlinear

Nikos Katzourakis, 2018 .

Equivalence between weak and -solutions for symmetric hyperbolic first order PDE systems

Nikos Katzourakis, 2015 .

Existence of dim solutions to the equations of vectorial calculus of variations in L ∞ by Nikos Katzourakis

Nikos Katzourakis, 2015 .

Existence of Viscosity Solutions to the Dirichlet Problem for the \infty -Laplacian

Nikos Katzourakis, 2015 .

Second Definitions and Basic Analytic Properties of the Notions

Nikos Katzourakis, 2015 .

Mollification of Viscosity Solutions and Semiconvexity

Nikos Katzourakis, 2015 .

Generalized second order vectorial ∞-eigenvalue problems

E. Clark, Nikos Katzourakis, 2024, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.