Artículo
Bonder, J.F.; Rossi, J.D.; Ferreira, R. "Uniform bounds for the best Sobolev trace constant" (2003) Advanced Nonlinear Studies. 3(2):181-192
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Abstract:
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 ≤ ∞.
Registro:
| Documento: | Artículo |
| Título: | Uniform bounds for the best Sobolev trace constant |
| Autor: | Bonder, J.F.; Rossi, J.D.; Ferreira, R. |
| Filiación: | Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria (1428), Buenos Aires, Argentina Departamento de Matemática, Universidad Católica, Casilla 306, correo 22, Santiago, Chile Departamento de Matemáticas, Universidad Autónoma de Madrid, Madrid, Spain Departamento de Matemticas, U. Carlos III de Madrid, 28911 Legans, Spain |
| Palabras clave: | Nonlinear boundary conditions; P-laplacian; Sobolev trace constants |
| Año: | 2003 |
| Volumen: | 3 |
| Número: | 2 |
| Página de inicio: | 181 |
| Página de fin: | 192 |
| Título revista: | Advanced Nonlinear Studies |
| Título revista abreviado: | Adv. Nonlinear Stud. |
| ISSN: | 15361365 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v3_n2_p181_Bonder |
Referencias:
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- Del Pino, M., Flores, C., Asymptotic behavior of best constants and extremals for trace embeddings in expanding domains (2001) Communications in Partial Differential Equations, 26 (11-12), pp. 2189-2210
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- Escobar, J.F., Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature (1992) Ann. of Math., 136, pp. 1-50
- Bonder, J.F., Rossi, J.D., Existence results for the p-Laplacian with nonlinear boundary conditions (2001) Journal of Mathematical Analysis and Applications, 263 (1), pp. 195-223. , DOI 10.1006/jmaa.2001.7609
- Fernández Bonder, J., Rossi, J.D., Asymptotic behavior of the best Sobolev trace constant in expanding and contracting domains (2002) Comm. Pure Appl. Anal., 1 (3), pp. 359-378
- Gilbarg, D., Ttudinger, N.S., (1983) Elliptic Partial Differential Equations of Second Order, , Springer-Verlag, NY
- Juutinen, P., Lindqvist, P., Manfredi, J.J., The ∞-eigenvalue problem (1999) Arch. Rat. Mech. Anal., 148, pp. 89-105
- Martinez, S., Rossi, J.D., Isolation and simplicity for the first eigenvalue of the p-Laplacian with a nonlinear boundary condition (2002) Abst. Appl. Anal., 7 (5), pp. 287-293
- Tolksdorf, P., Regularity for a more general class of quasilinear elliptic equations (1984) J. Differential Equations, 51, pp. 126-150
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Citas:
---------- APA ----------
Bonder, J.F., Rossi, J.D. & Ferreira, R. (2003) . Uniform bounds for the best Sobolev trace constant. Advanced Nonlinear Studies, 3(2), 181-192.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v3_n2_p181_Bonder [ ]
---------- CHICAGO ----------
Bonder, J.F., Rossi, J.D., Ferreira, R. "Uniform bounds for the best Sobolev trace constant" . Advanced Nonlinear Studies 3, no. 2 (2003) : 181-192.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v3_n2_p181_Bonder [ ]
---------- MLA ----------
Bonder, J.F., Rossi, J.D., Ferreira, R. "Uniform bounds for the best Sobolev trace constant" . Advanced Nonlinear Studies, vol. 3, no. 2, 2003, pp. 181-192.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v3_n2_p181_Bonder [ ]
---------- VANCOUVER ----------
Bonder, J.F., Rossi, J.D., Ferreira, R. Uniform bounds for the best Sobolev trace constant. Adv. Nonlinear Stud. 2003;3(2):181-192.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v3_n2_p181_Bonder [ ]
