Semantic Scholar
Open Access
2008
138 sitasi
Q-valued functions revisited
Camillo De Lellis
Emanuele Spadaro
Abstrak
In this note we revisit Almgren's theory of Q-valued functions, that are functions taking values in the space of unordered Q-tuples of points in R^n. In particular: 1) we give shorter versions of Almgren's proofs of the existence of Dir-minimizing Q-valued functions, of their Hoelder regularity and of the dimension estimate of their singular set; 2) we propose an alternative intrinsic approach to these results, not relying on Almgren's biLipschitz embedding; 3) we improve upon the estimate of the singular set of planar Dir-minimizing functions by showing that it consists of isolated points.
Topik & Kata Kunci
Penulis (2)
C
Camillo De Lellis
E
Emanuele Spadaro
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2008
- Bahasa
- en
- Total Sitasi
- 138×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1090/S0065-9266-10-00607-1
- Akses
- Open Access ✓