On the Г-compactness of integral functionals with degenerate locally Lipschitz integrands and varying domains of definition

• Published in: Труды Института прикладной математики и механики
• Date: 2012
• Main Authors: Kovalevsky, A.A., Rudakova, O.A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124119
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Г-compactness of integral functionals with degenerate locally Lipschitz integrands and varying domains of definition / A.A. Kovalevsky, O.A. Rudakova // Труды Института прикладной математики и механики НАН Украины. — Донецьк: ІПММ НАН України, 2012. — Т. 25. — С. 113-117. — Бібліогр.: 9 назв. — англ.

In this Note, we announce a new Г-compactness result for a sequence of integral functionals defined on varying weighted Sobolev spaces. The result concerns the case where the degenerate integrands of the functionals satisfy a local Lipschitz condition but in general may not be convex with respect to...