Symmetrization and Integral Inequalities

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 bou...

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Veröffentlicht in:	Mathematical Notes 2023-08, Vol.114 (1-2), p.230-241
1. Verfasser:	Klimov, V. S.
Format:	Artikel
Sprache:	eng
Schlagworte:	14/34 639/766/189 639/766/530 639/766/747 Calculus of variations Lower bounds Mathematics Mathematics and Statistics Sobolev space
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0001-4346 1067-9073 1573-8876
DOI:	10.1134/S0001434623070246