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math.AP2023
Asymptotic behavior of Musielak-Orlicz-Sobolev modulars
J. C. de Albuquerque, L. R. S. de Assis, M. L. M. Carvalho +1
In this article we study the asymptotic behavior of anisotropic nonlocal nonstandard growth seminorms and modulars as the fractional parameter goes to 1. This gives a so-called Bou…
math.AP2023
On Fractional Musielak-Sobolev spaces and applications to nonlocal problems
J. C. de Albuquerque, L. R. S. de Assis, M. L. M. Carvalho +1
In this work, we establish some abstract results on the perspective of the fractional Musielak-Sobolev spaces, such as: uniform convexity, Radon-Riesz property with respect to the…