Boundary-Value Problem for Nonuniformly Elliptic Equations with Power Singularities

dc.contributor.author	Pukalsky, Ivan
dc.contributor.author	Luste, Iryna
dc.date.accessioned	2024-11-19T07:57:50Z
dc.date.available	2024-11-19T07:57:50Z
dc.date.issued	2024
dc.identifier.citation	Luste, I.P., Pukal’s’kyi, I.D. (2024) Boundary-Value Problem for Nonuniformly Elliptic Equations with Power Singularities. J Math Sci 278, 748–760. https://doi.org/10.1007/s10958-024-06959-8	uk_UA
dc.identifier.issn	1573-8795
dc.identifier.issn	1072-3374
dc.identifier.uri	https://archer.chnu.edu.ua/xmlui/handle/123456789/10846
dc.description.abstract	By using a priori estimates and the Riesz theorem, we investigate a boundary-value problem for nonuniformly 2b -elliptic equations with arbitrary power singularities in the coefficients of the equation and boundary conditions on a certain set of points. We establish the existence and obtain an integral representation of the unique solution of the formulated boundary-value problem in Hölder spaces with power weights whose order is determined via the orders of singularities in the coefficients of the equation and boundary conditions.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Journal of Mathematical Sciences	uk_UA
dc.subject	boundary-value problem	uk_UA
dc.subject	power singularities	uk_UA
dc.subject	interpolation inequalities	uk_UA
dc.subject	Hölder spaces	uk_UA
dc.subject	Arzelà theorem	uk_UA
dc.subject	Riesz theorem	uk_UA
dc.subject	Borel measure	uk_UA
dc.title	Boundary-Value Problem for Nonuniformly Elliptic Equations with Power Singularities	uk_UA
dc.type	Article	uk_UA