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A characterisation of infinity-harmonic and p-harmonic maps via affine variations in L-infinity

Electronic journal of differential equations, 2017-01, Vol.2017 (29), p.1-19

Nikos Katzourakis

2017

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

Advances in nonlinear analysis, 2019-01, Vol.8 (1), p.508-516

Katzourakis, Nikos

2019

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

Advances in calculus of variations, 2020-04, Vol.13 (2), p.115-140

2020

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

Nonlinear differential equations and applications, 2016-06, Vol.23 (3), Article 33

Katzourakis, Nikos

2016

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Vectorial Variational Principles in L∞ and Their Characterisation Through PDE Systems

Applied mathematics & optimization, 2021-04, Vol.83 (2), p.833-848

2021

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The eigenvalue problem for the ∞-Bilaplacian

Nonlinear differential equations and applications, 2017, Vol.24 (6)

2017

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On the Inverse Source Identification Problem in L∞ for Fully Nonlinear Elliptic PDE

Vietnam journal of mathematics, 2021-09, Vol.49 (3), p.815-829

2021

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On the numerical approximation of vectorial absolute minimisers in L

Nonlinear differential equations and applications, 2020, Vol.27 (6)

2020

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Generalised vectorial ∞-eigenvalue nonlinear problems for L∞ functionals

Nonlinear analysis, 2022-06, Vol.219, p.112806, Article 112806

Katzourakis, Nikos

2022

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Generalised solutions for fully nonlinear PDE systems and existence–uniqueness theorems

Journal of Differential Equations, 2017-07, Vol.263 (1), p.641-686

Katzourakis, Nikos

2017

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

Proceedings of the American Mathematical Society, 2017-06, Vol.145 (6), p.2567-2575

2017

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

Advances in nonlinear analysis, 2018-05, Vol.7 (2), p.139-148

2018

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

Zeitschrift für Analysis und ihre Anwendungen, 2022-01, Vol.41 (1), p.93-132

Katzourakis, Nikos

2022

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Absolutely minimising generalised solutions to the equations of vectorial calculus of variations in L

Calculus of variations and partial differential equations, 2017, Vol.56 (1), p.1-25

Katzourakis, Nikos

2017

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Existence, Uniqueness and Structure of Second Order Absolute Minimisers

Archive for rational mechanics and analysis, 2019-03, Vol.231 (3), p.1615-1634

2019

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Inverse Optical Tomography through PDE Constrained Optimization $L^\infty

SIAM journal on control and optimization, 2019-01, Vol.57 (6), p.4205-4233

Katzourakis, Nikos

2019

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A minimisation problem in L ∞ with PDE and unilateral constraints

ESAIM. Control, optimisation and calculus of variations, 2020-01, Vol.26, p.60

Katzourakis, Nikos

2020

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Generalized second order vectorial ∞-eigenvalue problems

Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 2024-03, p.1-21

2024

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An $L^\infty$ Regularization Strategy to the Inverse Source Identification Problem for Elliptic Equations

SIAM journal on mathematical analysis, 2019-01, Vol.51 (2), p.1349-1370

Katzourakis, Nikos

2019

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On the Structure of ∞-Harmonic Maps

Communications in partial differential equations, 2014-11, Vol.39 (11), p.2091-2124

Katzourakis, Nikos

2014

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An Illustrative Introduction to Modern Analysis

1, 2017

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

Katzourakis, Nikos

2015, 2014

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Variational Problems in L ∞ Involving Semilinear Second Order Differential Operators

ESAIM. Control, optimisation and calculus of variations, 2023, Vol.29, p.76

2023

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On the Structure of infinity -Harmonic Maps

Communications in partial differential equations, 2014-11, Vol.39 (11), p.2091-2124

Katzourakis, Nikos

2014

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

Advances in calculus of variations, 2024-07, Vol.17 (3), p.831-853

2024

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A characterisation of infinity-harmonic and p-harmonic maps via affine variations in L-infinity

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

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

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

Vectorial Variational Principles in L∞ and Their Characterisation Through PDE Systems

The eigenvalue problem for the ∞-Bilaplacian

On the Inverse Source Identification Problem in L∞ for Fully Nonlinear Elliptic PDE

On the numerical approximation of vectorial absolute minimisers in L

Generalised vectorial ∞-eigenvalue nonlinear problems for L∞ functionals

Generalised solutions for fully nonlinear PDE systems and existence–uniqueness theorems

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

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

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

Absolutely minimising generalised solutions to the equations of vectorial calculus of variations in L

Existence, Uniqueness and Structure of Second Order Absolute Minimisers

Inverse Optical Tomography through PDE Constrained Optimization $L^\infty

A minimisation problem in L ∞ with PDE and unilateral constraints

Generalized second order vectorial ∞-eigenvalue problems

An $L^\infty$ Regularization Strategy to the Inverse Source Identification Problem for Elliptic Equations

On the Structure of ∞-Harmonic Maps

An Illustrative Introduction to Modern Analysis

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

Variational Problems in L ∞ Involving Semilinear Second Order Differential Operators

On the Structure of infinity -Harmonic Maps

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

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