3 papers
math.AP2023
Weak solutions to gradient flows of functionals with inhomogeneous growth in metric spaces
Wojciech Górny
We use the framework of the first-order differential structure in metric measure spaces introduced by Gigli to define a notion of weak solutions to gradient flows of convex, lower…
math.AP2023
Strongly anisotropic Anzellotti pairings and their applications to the anisotropic -Laplacian
Wojciech Górny
In this paper, we study the parabolic and elliptic problems related to the anisotropic -Laplacian operator in the case when it has linear growth on some of the coordinates. In o…
math.AP2022
A duality-based approach to gradient flows of linear growth functionals
Wojciech Górny, José M. Mazón
We study gradient flows of general functionals with linear growth with very weak assumptions. Classical results concerning characterisation of solutions require differentiability o…