4 papers
Adaptive double-phase Rudin--Osher--Fatemi denoising model
Wojciech Górny, MichaÅ Åasica, 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, in particular in scientific ap…
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, MichaÅ Åasica, 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…