On L1-Matrices with Degenerate Spectrum and Weak Convergence in Associated Weighted Sobolev Spaces

Rudyanova, T. N.; Kogut, P. I.

dc.contributor.author	Rudyanova, T. N.
dc.contributor.author	Kogut, P. I.
dc.date.accessioned	2017-05-22T11:19:46Z
dc.date.available	2017-05-22T11:19:46Z
dc.date.issued	2017-04-22
dc.identifier.citation	Chiad`o Piat V., Serra Cassano F. Some remarks about the density of smooth functions in weighted Sobolev spaces// J. Convex Analysis, 1994, No. 2, Vol.1, P. 135–142. 2. Kogut P. I., Leugering G. Optimal L1-Control in Coefficients for Dirichlet Elliptic Problems: H-Optimal Solutions// Zeitschrift f¨ur Analysis und ihre Anwendungen (ZAA), 2012, Issue 1, Vol. 31, P. 31–53. 3. Kogut P. I., Leugering G. Optimal L1-Control in Coefficients for Dirichlet Elliptic Problems: W-Optimal Solutions// Journal of Optimization Theory and Applications (JOTA), 2011, No 2, Vol. 150, P. 205 232. 4. Zhikov V. V. Weighted Sobolev spaces// Sbornik: Mathematics, 1998, No. 8, Vol. 189, P. 27–58. 5. Zhikov V. V. On an extension of the method of two-scale convergence and its applications// Sbornik: Mathematics, 2000, No. 7, Vol. 191, P. 973–1014	uk_UA
dc.identifier.issn	9125 0912
dc.identifier.uri	http://hdl.handle.net/123456789/2375
dc.description.abstract	We study the compactness property of the weak convergence in variable Sobolev spaces of the following sequences, where the squared symmetric matrices belong to the Lebesgue space and their eigenvalues may vanish on subdomains of with zero Lebesgue measure	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Дніпропетровський національний університет імені Олеся Гончара	uk_UA
dc.relation.ispartofseries	Вісник Дніпропетровського університету. Серія : Математика : наук. журн;2012, вип. 17
dc.subject	матриці з виродженим спектром	uk_UA
dc.subject	вагові простори Соболєва	uk_UA
dc.subject	сигулярні міри	uk_UA
dc.subject	збіжність у змінних просторах	uk_UA
dc.subject	matrices with degenerate spectrum	uk_UA
dc.subject	weighted Sobolev space	uk_UA
dc.subject	singular measures	uk_UA
dc.subject	convergence in variable spaces	uk_UA
dc.title	On L1-Matrices with Degenerate Spectrum and Weak Convergence in Associated Weighted Sobolev Spaces	uk_UA
dc.type	Article	uk_UA