96 citations · 490 across the 38 of their papers we have counts for
4 papers · 1 filter
On renormalized solutions to elliptic inclusions with nonstandard growth
Anna Denkowska, Piotr Gwiazda, Piotr Kalita
We study the elliptic inclusion given in the following divergence form \begin{align*} & -\mathrm{div}\, A(x,\nabla u) \ni f\quad \mathrm{in}\quad Ω, & u=0\quad \mathrm{on}\quad \pa…
Parabolic equations in Musielak -- Orlicz spaces with discontinuous in time -function
Miroslav Bulíček, Piotr Gwiazda, Jakub Skrzeczkowski
We consider a parabolic PDE with Dirichlet boundary condition and monotone operator with non-standard growth controlled by an -function depending on time and spatial variabl…
Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws
Claude Bardos, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda +2
We show that weak solutions of general conservation laws in bounded domains conserve their generalized entropy, and other respective companion laws, if they possess a certain fract…
Asymptotic behaviour of a structured population model on a space of measures
József Z. Farkas, Piotr Gwiazda, Anna Marciniak-Czochra
In this paper we consider a physiologically structured population model with distributed states at birth, formulated on the space of non-negative Radon measures. Using a characteri…