Symmetrization and Integral Inequalities
Matematičeskie zametki, Tome 114 (2023) no. 2, pp. 282-296
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Steiner symmetrizations of anisotropic integral functionals of multivariate calculus of variations defined on the set of compactly supported functions in the Sobolev class are studied. Applications of the results to embedding theorems for anisotropic Orlicz–Sobolev spaces are outlined, and lower bounds for the values of multidimensional variational problems are found.
Keywords:
symmetrization, function, space, inequality, integral
Mots-clés : gradient.
Mots-clés : gradient.
@article{MZM_2023_114_2_a9,
author = {V. S. Klimov},
title = {Symmetrization and {Integral} {Inequalities}},
journal = {Matemati\v{c}eskie zametki},
pages = {282--296},
publisher = {mathdoc},
volume = {114},
number = {2},
year = {2023},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2023_114_2_a9/}
}
V. S. Klimov. Symmetrization and Integral Inequalities. Matematičeskie zametki, Tome 114 (2023) no. 2, pp. 282-296. http://geodesic.mathdoc.fr/item/MZM_2023_114_2_a9/