Convergence of generalized Orlicz norms with lower growth rate tending to infinity

: Bertazzoni, Giacomo; Harjulehto, Petteri; Hästö, Peter

Publisher: Academic Press

: 2024

: Journal of Mathematical Analysis and Applications

: 128666

: 539

: 2

: 0022-247X

: 1096-0813

DOI: https://doi.org/10.1016/j.jmaa.2024.128666

: https://doi.org/10.1016/j.jmaa.2024.128666

: https://research.utu.fi/converis/portal/detail/Publication/457142478

: 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.

1-s2.0-S0022247X24005882-main.pdf