Topology and Sobolev Spaces

By Haim Brezis, Yanyan Li. 2000

66 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/c49b25f9c57bb2c0077ec87804ac233abe54d4b0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Haim Brezis
2. Petru Mironescu
3. Alireza H. Taheri
4. Fengbo Hang
5. F. Lin
6. Jean Van Schaftingen
7. Giuseppe Mingione
8. Augusto C. Ponce

In Computational Theory and Mathematics

1. Alireza H. Taheri
2. Haim Brezis
3. F. Lin
4. Fengbo Hang
5. Petru Mironescu
6. Augusto C. Ponce
7. Jean Van Schaftingen
8. Wenxiong CHEN *

Citations in the corpus

• Gagliardo-Nirenberg, composition and products in fractional Sobolev spaces (2001, background): “In particular, one may ask whether X is path-connected and whether C∞(Ω;S1) is dense in X .”
• Local Minimizers and Quasiconvexity – the Impact of Topology (2005, background): “, [11, 12]).”
• The interplay between analysis and topology in some nonlinear PDE problems (2003, methodology): “We also introduced in H. Brezis and Y. Li [ 19 ] a concept which plays a very important role in identifying the possible \jumps" in homotopy type for W 1;p as p”
• Topology of Sobolev mappings (2001, background): “In [ BL ], Brezis and Li initiated the study of”
• Topology of sobolev mappings, II (2003, unknown): “4 of [2].”