We study convergence of generalized Orlicz energies when the lower growth-rate tends to infinity. We generalize results by Bocea-Mih & abreve;ilescu (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. (c) 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).
Convergence of generalized Orlicz norms with lower growth rate tending to infinity / Bertazzoni, G.; Harjulehto, P.; Hasto, P.. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 1096-0813. - 539:2(2024), pp. 1-11. [10.1016/j.jmaa.2024.128666]
Convergence of generalized Orlicz norms with lower growth rate tending to infinity
Bertazzoni G.
;
2024
Abstract
We study convergence of generalized Orlicz energies when the lower growth-rate tends to infinity. We generalize results by Bocea-Mih & abreve;ilescu (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. (c) 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).
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