Jonne Juusti

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.FA2022

Extension in generalized Orlicz--Sobolev spaces

Jonne Juusti

We study the existence of an extension operator $Λ : W^{1, φ} (Ω) \to W^{1, ψ} (R^{n})$ . We assume that $φ \in Φ_{w} (Ω)$ has generalized Orlicz growth, $ψ\in Φ_\mathrm{…