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arXiv · 2406.16509

Approximation of $L^\infty$ functionals with generalized Orlicz norms

Giacomo Bertazzoni·Michela Eleuteri·Elvira Zappale
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Abstract

The aim of this paper is to deal with the asymptotics of generalized Orlicz norms when the lower growth rate tends to infinity. $\Gamma$-convergence results and related representation theorems in terms of $L^\infty$ 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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Giacomo Bertazzoni, Michela Eleuteri, Elvira Zappale. 2024-06-24. Approximation of $L^\infty$ functionals with generalized Orlicz norms. https://arxiv.org/abs/2406.16509

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