<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e26" altimg="si28.svg"><mml:mi>Γ</mml:mi></mml:math>-convergence for power-law functionals with variable exponents

Eleuteri, Michela; Prinari, Francesca

doi:10.1016/j.nonrwa.2020.103221

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2022

2024

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Cited by 5 publications

(1 citation statement)

References 36 publications

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“…More generally, L p -approximations hold in the local setting, connecting classical integral and supremal functionals approximatively in the limit of diverging power-law exponents, see e.g. [3,19,25,46,47]. They have been used as technical tools, e.g.…”

Section: Introductionmentioning

confidence: 99%

Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals

2022

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Section: Introductionmentioning

confidence: 99%

Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals

2022

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A sufficient condition for the lower semicontinuity of nonlocal supremal functionals in the vectorial case

Gargiulo

Zappale

2023

European Journal of Mathematics

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We present a sufficient condition ensuring lower semicontinuity for nonlocal supremal functionals of the type "Equation missing"where $$\Omega $$ Ω is a bounded open subset of $${\mathbb {R}}^N$$ R N and $$W:\Omega \,{\times }\, \Omega \,{\times }\, {\mathbb {R}}^{d \times N}{\times }\, {\mathbb {R}}^{d \times N} \rightarrow {\mathbb {R}}.$$ W : Ω × Ω × R d × N × R d × N → R .

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

Bertazzoni,

Harjulehto,

Hästö

2024

Journal of Mathematical Analysis and Applications

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Γ-convergence for power-law functionals with variable exponents

Cited by 5 publications

References 36 publications

Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals

Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals

A sufficient condition for the lower semicontinuity of nonlocal supremal functionals in the vectorial case

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

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