Continuity results with respect to domain perturbation for the fractional p-Laplacian
In this paper, we give sufficient conditions on the approximating domains in order to obtain the continuity of solutions for the fractional p-Laplacian. These conditions are given in terms of the fractional capacity of the approximating domains. © 2017 Elsevier Ltd
Guardado en:
| Autor principal: | |
|---|---|
| Otros Autores: | , |
| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
Elsevier Ltd
2018
|
| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 06654caa a22007097a 4500 | ||
|---|---|---|---|
| 001 | PAPER-17337 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518204832.0 | ||
| 008 | 190410s2018 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-85024877424 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 030 | |a AMLEE | ||
| 100 | 1 | |a Baroncini, C. | |
| 245 | 1 | 0 | |a Continuity results with respect to domain perturbation for the fractional p-Laplacian |
| 260 | |b Elsevier Ltd |c 2018 | ||
| 270 | 1 | 0 | |m Fernández Bonder, J.; Departamento de Matemática FCEN - Universidad de Buenos Aires and IMAS - CONICET. Ciudad Universitaria, Pabellón I (C1428EGA) Av. Cantilo 2160. Buenos Aires, Argentina; email: jfbonder@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Du, Q., Gunzburger, M., Lehoucq, R.B., Zhou, K., Analysis and approximation of nonlocal diffusion problems with volume constraints (2012) SIAM Rev., 54 (4), pp. 667-696 | ||
| 504 | |a Eringen, A.C., Nonlocal Continuum Field Theories (2002), Springer-Verlag, New York; Giacomin, G., Lebowitz, J.L., Phase segregation dynamics in particle systems with long range interactions. I. Macroscopic limits (1997) J. Stat. Phys., 87 (1-2), pp. 37-61 | ||
| 504 | |a Laskin, N., Fractional quantum mechanics and Lévy path integrals (2000) Phys. Lett. A, 268 (4-6), pp. 298-305 | ||
| 504 | |a Metzler, R., Klafter, J., The random walk's guide to anomalous diffusion: a fractional dynamics approach (2000) Phys. Rep., 339 (1), p. 77 | ||
| 504 | |a Zhou, K., Du, Q., Mathematical and numerical analysis of linear peridynamic models with nonlocal boundary conditions (2010) SIAM J. Numer. Anal., 48 (5), pp. 1759-1780 | ||
| 504 | |a Akgiray, V., Booth, G.G., The siable-law model of stock returns (1988) J. Bus. Econ. Stat., 6 (1), pp. 51-57 | ||
| 504 | |a Levendorski, S., Pricing of the American put under Lévy processes (2004) Int. J. Theor. Appl. Finance, 7 (3), pp. 303-335 | ||
| 504 | |a Schoutens, W., Lévy processes in finance: pricing financial derivatives (2003) Wiley Series in Probability and Statistics, , Wiley, New York | ||
| 504 | |a Constantin, P., Euler equations, Navier-Stokes equations and turbulence (2006) Mathematical Foundation of Turbulent Viscous Flows, Lecture Notes in Math., 1871, pp. 1-43. , Springer, Berlin | ||
| 504 | |a Humphries et al., N., Environmental context explains Lévy and Brownian movement patterns of marine predators (2010) Nature, 465, pp. 1066-1069 | ||
| 504 | |a Massaccesi, A., Valdinoci, E., Is a nonlocal diffusion strategy convenient for biological populations in competition? (2015) ArXiv E-Prints | ||
| 504 | |a Reynolds, A.M., Rhodes, C.J., The lvy flight paradigm: random search patterns and mechanisms (2009) Ecology, 90 (4), pp. 877-887 | ||
| 504 | |a Gilboa, G., Osher, S., Nonlocal operators with applications to image processing (2008) Multiscale Model. Simul., 7 (3), pp. 1005-1028 | ||
| 504 | |a Di Nezza, E., Palatucci, G., Valdinoci, E., Hitchhiker's guide to the fractional Sobolev spaces (2012) Bull. Sci. Math., 136 (5), pp. 521-573 | ||
| 504 | |a Demengel, F., Demengel, G., Functional Spaces for the Theory of Elliptic Partial Differential Equations (2012) Universitext, , Springer, London; EDP Sciences, Les Ulis Translated from the 2007 French original by Reinie Erné | ||
| 504 | |a Šverák, V., On optimal shape design (1993) J. Math. Pures Appl. (9), 72 (6), pp. 537-551 | ||
| 504 | |a Cioranescu, D., Murat, F., A strange term coming from nowhere [MR0652509 (84e:35039a); MR0670272 (84e:35039b)] (1997) Topics in the Mathematical Modelling of Composite Materials, Progr. Nonlinear Differential Equations Appl., 31, pp. 45-93. , Birkhäuser Boston Boston, MA | ||
| 504 | |a Focardi, M., Aperiodic fractional obstacle problems (2010) Adv. Math., 225 (6), pp. 3502-3544 | ||
| 504 | |a Henrot, A., Pierre, M., Variation et optimisation de formes (2005) Mathématiques & Applications (Berlin) [Mathematics & Applications], vol. 48, , Springer Berlin Une analyse géométrique. [A geometric analysis] | ||
| 504 | |a Warma, M., The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets (2015) Potential Anal., 42 (2), pp. 499-547 | ||
| 504 | |a Evans, L.C., Gariepy, R.F., Measure theory and fine properties of functions (1992) Studies in Advanced Mathematics, , CRC Press Boca Raton, FL | ||
| 504 | |a Ekeland, I., Temam, R., Convex Analysis and Variational Problems (1976), North-Holland Publishing Co. Amsterdam Translated from the French, Studies in Mathematics and its Applications, Vol. 1 | ||
| 520 | 3 | |a In this paper, we give sufficient conditions on the approximating domains in order to obtain the continuity of solutions for the fractional p-Laplacian. These conditions are given in terms of the fractional capacity of the approximating domains. © 2017 Elsevier Ltd |l eng | |
| 536 | |a Detalles de la financiación: Agencia Nacional de Promoción Científica y Tecnológica, PICT 2012-0153 | ||
| 536 | |a Detalles de la financiación: This paper was partially supported by grants UBACyT20020130100283BA, CONICET PIP11220150100032CO and ANPCyT PICT 2012-0153. | ||
| 593 | |a Departamento de Matemática FCEN - Universidad de Buenos Aires and IMAS - CONICET. Ciudad Universitaria, Pabellón I (C1428EGA) Av. Cantilo 2160. Buenos Aires, Argentina | ||
| 593 | |a Departamento de Matemática, Universidad Nacional de San Luis and IMASL - CONICET. Ejército de los Andes 950 (D5700HHW), San Luis, Argentina | ||
| 690 | 1 | 0 | |a DOMAIN PERTURBATION |
| 690 | 1 | 0 | |a FRACTIONAL CAPACITY |
| 690 | 1 | 0 | |a FRACTIONAL P-LAPLACIAN |
| 690 | 1 | 0 | |a MATHEMATICAL TECHNIQUES |
| 690 | 1 | 0 | |a DOMAIN PERTURBATION |
| 690 | 1 | 0 | |a FRACTIONAL CAPACITY |
| 690 | 1 | 0 | |a P-LAPLACIAN |
| 690 | 1 | 0 | |a LAPLACE TRANSFORMS |
| 700 | 1 | |a Fernández Bonder, J. | |
| 700 | 1 | |a Spedaletti, J.F. | |
| 773 | 0 | |d Elsevier Ltd, 2018 |g v. 75 |h pp. 59-67 |p Appl Math Lett |x 08939659 |t Applied Mathematics Letters | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-85024877424&doi=10.1016%2fj.aml.2017.06.005&partnerID=40&md5=82964447c2992f792c77fc16692488b8 |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.aml.2017.06.005 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_08939659_v75_n_p59_Baroncini |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08939659_v75_n_p59_Baroncini |y Registro en la Biblioteca Digital |
| 961 | |a paper_08939659_v75_n_p59_Baroncini |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 78290 | ||