On mappings in the Orlicz--Sobolev classes on Riemannian manifolds

DOI10.1007/s10958-012-0672-zzbMath1268.58008OpenAlexW2058099583WikidataQ115382403 ScholiaQ115382403MaRDI QIDQ1762503

Vladimir I. Ryazanov, Elena S. Afanas'eva

Publication date: 27 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0672-z

zbMATH Keywords

Riemannian manifoldsfinite distortionfinite mean oscillationOrlicz-Sobolev classeslower \(Q\)-homeomorphisms

Mathematics Subject Classification ID

Continuity properties of mappings on manifolds (58C07)

Related Items (21)

Topological mappings of finite area distortion ⋮ On mappings with the inverse Poletsky inequality in metric spaces ⋮ Boundary behavior and the Dirichlet problem for Beltrami equations ⋮ Toward the theory of Orlicz–Sobolev classes ⋮ Constructing super D-Kaup-Newell hierarchy and its nonlinear integrable coupling with self-consistent sources ⋮ Boundary behaviour of open discrete mappings on Riemannian manifolds ⋮ Prime ends in the mapping theory on the Riemann surfaces ⋮ Lower estimates for $p$-moduli and Sobolev class mappings ⋮ On the boundary behavior of mappings in the class \(W^{1,1}_{\mathrm{loc}}\) on Riemann surfaces ⋮ Ring \(Q\)-homeomorphisms on Finsler manifolds ⋮ Boundary behaviour of open, light mappings in metric measure spaces ⋮ Generalized quasi-isometries on smooth Riemannian manifolds ⋮ On the Hölder property of mappings in domains and on boundaries ⋮ Boundary behaviour of open discrete mappings on Riemannian manifolds. II ⋮ Boundary extension of mappings with integrally bounded moduli on Finsler manifolds ⋮ Topological mappings of finite area distortion ⋮ A note on meromorphic functions with finite order and of bounded \(l\)-index ⋮ Prime ends and Orlicz–Sobolev classes ⋮ To the theory of mappings of the Sobolev class with the critical index ⋮ On equicontinuity of families of mappings between Riemannian surfaces with respect to prime ends ⋮ On mappings with the inverse Poletsky inequality on Riemannian manifolds

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