Uniform bounds for the best Sobolev trace constant
We study the Sobolev trace embedding W1,p (Ω) → Lq(∂Ω), looking at the dependence of the best constant and the extremals on p and q. We prove that there exists a uniform bound (independent of (p, q)) for the best constant if and only if (p, q) lies far from (N, ∞). Also we study some limit cases, q...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_15361365_v3_n2_p181_Bonder |
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todo:paper_15361365_v3_n2_p181_Bonder2023-10-03T16:21:50Z Uniform bounds for the best Sobolev trace constant Bonder, J.F. Rossi, J.D. Ferreira, R. Nonlinear boundary conditions P-laplacian Sobolev trace constants We study the Sobolev trace embedding W1,p (Ω) → Lq(∂Ω), looking at the dependence of the best constant and the extremals on p and q. We prove that there exists a uniform bound (independent of (p, q)) for the best constant if and only if (p, q) lies far from (N, ∞). Also we study some limit cases, q = ∞ with p > N or p = ∞ with 1 ≤ q ≤ ∞. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15361365_v3_n2_p181_Bonder |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Nonlinear boundary conditions P-laplacian Sobolev trace constants |
| spellingShingle |
Nonlinear boundary conditions P-laplacian Sobolev trace constants Bonder, J.F. Rossi, J.D. Ferreira, R. Uniform bounds for the best Sobolev trace constant |
| topic_facet |
Nonlinear boundary conditions P-laplacian Sobolev trace constants |
| description |
We study the Sobolev trace embedding W1,p (Ω) → Lq(∂Ω), looking at the dependence of the best constant and the extremals on p and q. We prove that there exists a uniform bound (independent of (p, q)) for the best constant if and only if (p, q) lies far from (N, ∞). Also we study some limit cases, q = ∞ with p > N or p = ∞ with 1 ≤ q ≤ ∞. |
| format |
JOUR |
| author |
Bonder, J.F. Rossi, J.D. Ferreira, R. |
| author_facet |
Bonder, J.F. Rossi, J.D. Ferreira, R. |
| author_sort |
Bonder, J.F. |
| title |
Uniform bounds for the best Sobolev trace constant |
| title_short |
Uniform bounds for the best Sobolev trace constant |
| title_full |
Uniform bounds for the best Sobolev trace constant |
| title_fullStr |
Uniform bounds for the best Sobolev trace constant |
| title_full_unstemmed |
Uniform bounds for the best Sobolev trace constant |
| title_sort |
uniform bounds for the best sobolev trace constant |
| url |
http://hdl.handle.net/20.500.12110/paper_15361365_v3_n2_p181_Bonder |
| work_keys_str_mv |
AT bonderjf uniformboundsforthebestsobolevtraceconstant AT rossijd uniformboundsforthebestsobolevtraceconstant AT ferreirar uniformboundsforthebestsobolevtraceconstant |
| _version_ |
1782024894833229824 |