Olli Toivanen

collaborators

2 papers

math.AP2020

Strong maximum principle and boundary estimates for nonhomogeneous elliptic equations

Niklas L. P. Lundström, Marcus Olofsson, Olli Toivanen

We give a simple proof of the strong maximum principle for viscosity subsolutions of fully nonlinear elliptic PDEs on the form $F (x, u, D u, D^{2} u) = 0$ under suitable structure con…

math.AP2015

Hölder continuity of quasiminimizers with nonstandard growth

Tomasz Adamowicz, Olli Toivanen

We show the Hölder continuity of quasiminimizers of the energy functionals $\int f (x, u, \nabla u) d x$ with nonstandard growth under the general structure conditions $$ |z|^{p(x)} -…