Approximation of L^∞ functionals with generalized Orlicz norms

2024/06/24 by Bertazzoni, Giacomo, Eleuteri, Michela, Zappale, Elvira
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.16509

Abstract

The aim of this paper is to deal with the asymptotics of generalized Orlicz norms when the lower growth rate tends to infinity. Γ-convergence results and related representation theorems in terms of L^∞ functionals are proven for sequences of generalized Orlicz energies under mild convexity assumptions. This latter hypothesis is removed in the variable exponent setting.

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