96 citations · 490 across the 38 of their papers we have counts for
3 papers · 2 filters
On a range of exponents for absence of Lavrentiev phenomenon for double phase functionals
Miroslav Bulíček, Piotr Gwiazda, Jakub Skrzeczkowski
For a class of functionals having the -growth, we establish an improved range of exponents , for which the Lavrentiev phenomenon does not occur. The proof is based on…
Measure Differential Equation with a Nonlinear Growth/Decay Term
Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra +1
We obtain an existence result for a Measure Differential Equation with an additional nonlinear growth/decay term that may change the sign. The proof requires a modification of appr…
Dissipative measure-valued solutions to the Euler-Poisson equation
José A. Carrillo, Tomasz Dębiec, Piotr Gwiazda +1
We consider several pressureless variants of the compressible Euler equation driven by nonlocal repulsionattraction and alignment forces with Poisson interaction. Under an energy a…