Petteri Harjulehto

collaborators

2 papers

math.AP2022

Bloch estimates in non-doubling generalized Orlicz spaces

Petteri Harjulehto, Peter Hästö, Jonne Juusti

We study minimizers of non-autonomous functionals \begin{align*} \inf_u \int_Ωφ(x,|\nabla u|) \, dx \end{align*} when $φ$ has generalized Orlicz growth. We consider the case where…

math.AP2021

Minimizers of abstract generalized Orlicz--bounded variation energy

Michela Eleuteri, Petteri Harjulehto, Peter Hästö

A way to measure the lower growth rate of $φ : Ω \times [0, \infty) \to [0, \infty)$ is to require $t \mapsto φ (x, t) t^{- r}$ to be increasing in $(0, \infty)$ . If this condition holds wit…