Critical Sobolev Inequalities and Extremals for a Partially Fractional Grushin Operator HJC1JJZRSH
| URI | m2://res/HJC1JJZRSH |
|---|---|
| Kind | preprint |
| Creators | S. Malhotra, L. Sharma, K. Sreenadh |
| Date | 2026-10-06 |
| MSC | 35-XX |
| Subjects | arxiv math.AP |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-06 |
| Ids | arXiv 2610.09001, zbl_id 903201547 |
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 |
|---|---|---|---|
| Maximal theorem | statement | theorem 4.1 | arxiv |
| Uniform fractional Grushin-Poincar\'e inequality | statement | theorem 1.1 | arxiv |
| Cut-off estimate | statement | lemma 5.1 | arxiv |
| Concentration-compactness principle | statement | theorem 1.5 | arxiv |
| 4J31EXY801 | statement | corollary 1.7 | arxiv |
| Ball-cylinder equivalence | statement | lemma 2.6 | arxiv |
| 7B5H3CB5SC | definition | definition | arxiv |
| 9XQPY9PTRE | statement | lemma 4.9 | arxiv |
| Vanishing of the optimal centering constant | statement | lemma 4.12 | arxiv |
| CEWQH83XB6 | statement | proposition 2.4 | arxiv |
| FH28H1BG7D | statement | proposition 4.7 | arxiv |
| Existence of minimizers for $S_{\alpha,\beta}(n,m)$ | statement | theorem 1.6 | arxiv |
| Weak-type estimate for the Riesz potential | statement | theorem 4.3 | arxiv |
| MEC52MFMKV | statement | corollary 4.8 | arxiv |
| Local compactness | statement | corollary 4.13 | arxiv |
| Lipschitz stability | statement | lemma 2.3 | arxiv |
| NETMNSAFV0 | statement | lemma 4.6 | arxiv |
| Rellich-Kondrachov on bounded sets | statement | theorem 1.4 | arxiv |
| PGFGYM5F0B | statement | lemma 2.1 | arxiv |
| R8H4EY617B | statement | proposition 3.3 | arxiv |
| Representation formula | statement | theorem 4.2 | arxiv |
| Global Sobolev inequality on $\R^{n+m}$ | statement | theorem 1.3 | arxiv |
| Subcritical Sobolev embedding | statement | theorem 1.2 | arxiv |
| W426K04RQ3 | statement | lemma 5.2 | arxiv |
| WMT5XB4QFP | statement | lemma 3.2 | arxiv |
| Poincar\'e inequality on a unit cell | statement | lemma 3.1 | arxiv |
| Fractional Grushin-Sobolev inequality on anisotropic cylinders | statement | theorem 4.10 | arxiv |
| YB3MM5G3CM | statement | lemma 4.5 | arxiv |
| YG3RXM7WA8 | statement | lemma 4.11 | arxiv |
| YQZVKRAWF5 | statement | corollary 2.2 | arxiv |
| Quasi-triangle inequality | statement | proposition 2.5 | arxiv |
| Telescoping identity | statement | lemma 4.4 | arxiv |
Catalogue records
- arxiv: 2610.09001 (work)
- arxiv_text: 2610.09001 (work)
- zbmath_search: 903201547 (work)