On the regularity of harmonic maps from ${\sf RCD}(K,N)$ to ${\sf CAT}(0)$ spaces and related results 49V3ANDZTY
| URI | m2://res/49V3ANDZTY |
|---|---|
| Kind | preprint |
| Creators | Nicola Gigli |
| Date | 2022-04-08 |
| MSC | 51-XX, 52-XX, 35-XX, 53-XX |
| Subjects | arxiv math.MG, arxiv math.AP, arxiv math.DG |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2022-04-08 |
| Ids | arXiv 2204.04317 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| Zhang-Zhong-Zhu inequality and Lipschitz continuity of harmonic maps | statement | theorem 6.18 | arxiv |
| Sobolev space \`a la Korevaar-Schoen | definition | definition 6.2 | arxiv |
| Perturbation lemma | statement | lemma 6.13 | arxiv |
| 4RJJV8AAN1 | statement | lemma 3.2 | arxiv |
| 5C5SFBHK8R | statement | lemma 5.7 | arxiv |
| 60ZFXSFYT1 | statement | theorem 1.1 | arxiv |
| 64HYE2VHNY | statement | proposition 3.4 | arxiv |
| 6PQ05HEJVF | statement | theorem 6.5 | arxiv |
| 7W1GQDMT9K | statement | lemma 6.15 | arxiv |
| 8G98BVSYE8 | statement | lemma 6.19 | arxiv |
| A Rademacher-type result | statement | proposition 6.11 | arxiv |
| The spaces $W^{1,2}(U)$ and $W^{1,2}_0(U)$ | definition | definition 2.5 | arxiv |
| AAQ0YBB3VV | statement | proposition 6.9 | arxiv |
| AJ0W4QK8AW | statement | lemma 4.2 | arxiv |
| B6BKMYZ6JA | statement | lemma 5.3 | arxiv |
| CJTKF8AA8T | statement | theorem 2.4 | arxiv |
| ``Existence" | statement | proposition 5.5 | arxiv |
| Test plans | definition | definition 2.1 | arxiv |
| DPAEXGGM46 | statement | lemma 4.7 | arxiv |
| Laplacian comparison for the squared distance | statement | theorem 4.6 | arxiv |
| F4BFZYVGP8 | statement | theorem 6.7 | arxiv |
| Reverse Poincar\'e inequality | statement | proposition 6.10 | arxiv |
| G23GEXEJV9 | statement | theorem 5.2 | arxiv |
| H9PVS9EX87 | statement | lemma 4.8 | arxiv |
| Sobolev functions | definition | definition 2.2 | arxiv |
| Sobolev space via post-composition | definition | definition 6.1 | arxiv |
| KAEYYR1PRQ | statement | proposition 3.1 | arxiv |
| KMWCW8CJJG | statement | proposition 6.14 | arxiv |
| MEP39RTDBQ | statement | lemma 4.3 | arxiv |
| R9GK7B7Q76 | statement | proposition 6.4 | arxiv |
| Regular Lagrangian Flow | definition | definition 5.1 | arxiv |
| Extension lemma | statement | lemma 4.5 | arxiv |
| S30CF5MTPB | statement | proposition 5.4 | arxiv |
| Laplacian bound for the $f_t$'s | statement | proposition 6.17 | arxiv |
| T03W9S4P00 | statement | proposition 6.8 | arxiv |
| ``Uniqueness" | statement | proposition 5.6 | arxiv |
| THN7GTHBNM | statement | theorem 3.3 | arxiv |
| TQ9MZA7TKP | statement | lemma 6.16 | arxiv |
| Local Laplacian and Laplacian bounds | definition | definition 4.4 | arxiv |
| A variational principle on $\RCD(K,\infty)$ spaces | statement | theorem 5.9 | arxiv |
| WEBHYGSPHS | statement | proposition 6.3 | arxiv |
| XC10XEJQKB | definition | definition 2.7 | arxiv |
| $L^2$-normed $L^\infty$-module | definition | definition 2.3 | arxiv |
| Laplacian and Laplacian bounds | definition | definition 4.1 | arxiv |
| Y78HJ64RP3 | statement | theorem 1.2 | arxiv |
| YAS8RTRN1B | definition | definition 2.6 | arxiv |
| ZXNBBV9JHP | statement | lemma 5.8 | arxiv |
Catalogue records
- arxiv: 2204.04317 (work)
- arxiv_text: 2204.04317 (work)