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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 has generalized Orlicz growth. We consider the case where…
math.AP2019
The Kellogg property under generalized growth conditions
Petteri Harjulehto, Jonne Juusti
We study minimizers of the Dirichlet phi-energy integral with generalized Orlicz growth. We prove the Kellogg property, the set of irregular points has zero capacity, and give char…