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

Abstract

We study convergence of generalized Orlicz energies when the lower growth-rate tends to infinity. We generalize results by Bocea--Mihailescu (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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