Symmetry and compact embeddings for critical exponents in metric-measure spaces
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Archivos
Fecha
2020-11
Autores
Profesor/a Guía
Facultad/escuela
Idioma
en
Título de la revista
ISSN de la revista
Título del volumen
Editor
Academic Press Inc.
Nombre de Curso
Licencia CC
Licencia CC
Resumen
We obtain a compact Sobolev embedding for H-invariant functions in compact metric-measure spaces, where H is a subgroup of the measure preserving bijections. In Riemannian manifolds, H is a subgroup of the volume preserving diffeomorphisms: a compact embedding for the critical exponents follows. The results can be viewed as an extension of Sobolev embeddings of functions invariant under isometries in compact manifolds. © 2020 Elsevier Inc.
Notas
Indexación Scopus
Palabras clave
Compact embedding, Metric-measure spaces, Sobolev spaces, Ricci Curvature, Doubling Measure
Citación
Journal of Differential Equations, Volume 269, Issue 11, Pages 9819 - 983715 November 2020
DOI
10.1016/j.jde.2020.06.062