Birzhan Ayanbayev

collaborators

3 papers

math.AP2020

On the inverse source identification problem in $L^{\infty}$ for fully nonlinear elliptic PDE

Birzhan Ayanbayev, Nikos Katzourakis

In this paper we generalise the results proved in [N. Katzourakis, An $L^{\infty}$ regularisation strategy to the inverse source identification problem for elliptic equations, SIAM J…

math.AP2018

Vectorial variational principles in $L^{\infty}$ and their characterisation through PDE systems

Birzhan Ayanbayev, Nikos Katzourakis

We discuss two distinct minimality principles for general supremal first order functionals for maps and characterise them through solvability of associated second order PDE systems…

math.AP2018

Explicit $\infty$ -harmonic functions in high dimensions

Birzhan Ayanbayev

The aim of this work is to derive new explicit solutions to the $\infty$ -Laplace equation, the fundamental PDE arising in Calculus of Variations in the space $L^{\infty}$ . These solu…

On the inverse source identification problem in L∞ for fully nonlinear elliptic PDE

Vectorial variational principles in L∞ and their characterisation through PDE systems

Explicit ∞-harmonic functions in high dimensions

On the inverse source identification problem in $L^{\infty}$ for fully nonlinear elliptic PDE

Vectorial variational principles in $L^{\infty}$ and their characterisation through PDE systems

Explicit $\infty$ -harmonic functions in high dimensions