Abstract
The families of mappings of the Orlicz–Sobolev classes given in a domain D of the Riemann manifold 𝕄 n ; n ≥ 3; are studied. It is established that these families are equicontinuous (normal), as soon as their internal dilation of the order p 𝜖 (n − 1, n] has a majorant of the FMO (finite mean oscillation) class at every point of the domain. The second sufficient condition for the continuous extension of the indicated mappings is the divergence of a certain integral.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
