2 citations · 2 across the 5 of their papers we have counts for
5 papers
Adaptive double-phase Rudin--Osher--Fatemi denoising model
Wojciech Górny, Michał Łasica, Alexandros Matsoukas
Even though more than 30 years have passed since the seminal Rudin--Osher--Fatemi (ROF) paper on total variation (TV) denoising, it remains relevant due to its simplicity, robustne…
A double-phase Neumann problem with
Alexandros Matsoukas, Nikos Yannakakis
We study a double-phase Neumann problem with non-homogeneous boundary conditions, where the lowest exponent is equal to 1. The existence of a solution is established as the lim…
On the solutions of a double-phase Dirichlet problem involving the 1-Laplacian
Alexandros Matsoukas, Nikos Yannakakis
In this paper we study a double-phase problem involving the 1-Laplacian with non-homogeneous Dirichlet boundary conditions and show the existence and uniqueness of a solution in a…
Euler-Lagrange equations for variable-growth total variation
Wojciech Górny, Michał Łasica, Alexandros Matsoukas
We consider a class of integral functionals with Musielak-Orlicz type variable growth, possibly linear in some regions of the domain. This includes power-type integrands wit…
The double phase Dirichlet problem when the lowest exponent is equal to 1
Alexandros Matsoukas, Nikos Yannakakis
In this paper we prove an existence and uniqueness result for the double phase Dirichlet problem when the lowest exponent is equal to 1. Our solution is a function of bounded varia…