A1 Refereed original research article in a scientific journal
Convergence of generalized Orlicz norms with lower growth rate tending to infinity
Authors: Bertazzoni, Giacomo; Harjulehto, Petteri; Hästö, Peter
Publisher: Academic Press
Publication year: 2024
Journal: Journal of Mathematical Analysis and Applications
Journal name in source: Journal of Mathematical Analysis and Applications
Article number: 128666
Volume: 539
Issue: 2
ISSN: 0022-247X
eISSN: 1096-0813
DOI: https://doi.org/10.1016/j.jmaa.2024.128666
Web address : https://doi.org/10.1016/j.jmaa.2024.128666
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/457142478
Preprint address: https://arxiv.org/abs/2306.12170
We study convergence of generalized Orlicz energies when the lower growth-rate tends to infinity. We generalize results by Bocea–Mihăilescu (Orlicz case) and Eleuteri–Prinari (variable exponent case) and allow weaker assumptions: we are also able to handle unbounded domains with irregular boundary and non-doubling energies.
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