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

Analysis of PDEs 2024-06-25 v1

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\Gamma-convergence results and related representation theorems in terms of LL^\infty functionals are proven for sequences of generalized Orlicz energies under mild convexity assumptions. This latter hypothesis is removed in the variable exponent setting.

Keywords

Cite

@article{arxiv.2406.16509,
  title  = {Approximation of $L^\infty$ functionals with generalized Orlicz norms},
  author = {Giacomo Bertazzoni and Michela Eleuteri and Elvira Zappale},
  journal= {arXiv preprint arXiv:2406.16509},
  year   = {2024}
}
R2 v1 2026-06-28T17:17:05.660Z