具有广义Orlicz范数的\(L^\infty \)泛函的逼近

IF 0.9 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-10-14 DOI:10.1007/s10231-024-01511-6

Giacomo Bertazzoni, Michela Eleuteri, Elvira Zappale

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引用次数: 0

摘要

本文的目的是处理广义Orlicz范数在低增长率趋于无穷时的渐近性。我们推广了Bertazzoni， Harjulehto和Hästö在Journ上证明的结果。数学。分析的。和苹果公司。（2024）的积分型能量（在广义Orlicz空间），考虑温和的凸性假设。 \(\Gamma \)的收敛结果及相关表示定理 \(L^\infty \) 功能被证明。在变指数情况下，凸性假设被完全去除，从而推广了非线性肛门中Eleuteri-Prinari的结果。真的。世界苹果。（2021）和priari - zappale在JOTA（2020）。

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Approximation of \(L^\infty \) functionals with generalized Orlicz norms

The aim of this paper is to deal with the asymptotics of generalized Orlicz norms when the lower growth rate tends to infinity. We generalize results proven by Bertazzoni, Harjulehto and Hästö in Journ. of Math. Anal. and Appl. (2024) for integral type energies (in generalized Orlicz spaces), considering milder convexity assumptions. \(\Gamma \)-convergence results and related representation theorems in terms of \(L^\infty \) functionals are proven. The convexity hypotheses are completely removed in the variable exponent setting, thus extending the results in Eleuteri-Prinari in Nonlinear Anal. Real. World Appl. (2021) and Prinari-Zappale in JOTA (2020).

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.