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Symmetry and compact embeddings for critical exponents in metric-measure spaces
- Source :
- Journal of Differential Equations. 269:9819-9837
- Publication Year :
- 2020
- Publisher :
- Elsevier BV, 2020.
-
Abstract
- 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.
- Subjects :
- Mathematics - Differential Geometry
Pure mathematics
Applied Mathematics
010102 general mathematics
01 natural sciences
010101 applied mathematics
Sobolev space
Differential Geometry (math.DG)
FOS: Mathematics
Embedding
0101 mathematics
Invariant (mathematics)
Bijection, injection and surjection
Critical exponent
Analysis
Mathematics
Subjects
Details
- ISSN :
- 00220396
- Volume :
- 269
- Database :
- OpenAIRE
- Journal :
- Journal of Differential Equations
- Accession number :
- edsair.doi.dedup.....5f09619f2cc2822ce5fd42b21b2c7830