4 papers · 1 filter
Fractional higher differentiability of solutions to strongly nonlinear Stokes systems
Andrea Cianchi, Flavia Giannetti, Antonia Passarelli di Napoli +1
This work concerns stationary Stokes type systems governed by a general class of non-necessarily power-type nonlinearities. Fractional regularity properties of the symmetric gradie…
Existence of variational solutions to doubly nonlinear systems in nondecreasing domains
Leah Schätzler, Christoph Scheven, Jarkko Siltakoski +1
For , we consider the Cauchy-Dirichlet problem to doubly nonlinear systems of the form \begin{align*} \partial_t \big( |u|^{q-1}u \big) - \operatorname{div} \big…
Existence of variational solutions to doubly nonlinear systems in general noncylindrical domains
Leah Schätzler, Christoph Scheven, Jarkko Siltakoski +1
We consider the Cauchy-Dirichlet problem to doubly nonlinear systems of the form \begin{align*} \partial_t \big( |u|^{q-1}u \big) - \operatorname{div} \big( D_ξf(x,u,Du) \big) = -…
On two notions of solutions to the obstacle problem for the singular porous medium equation
Kristian Moring, Christoph Scheven
We show that two different notions of solutions to the obstacle problem for the porous medium equation, a potential theoretic notion and a notion based on a variational inequality,…