An optimization problem for the first eigenvalue of the p-fractional Laplacian
In this paper we analyze an eigenvalue problem related to the nonlocal p-Laplace operator plus a potential. After reviewing some elementary properties of the first eigenvalue of these operators (existence, positivity of associated eigenfunctions, simplicity and isolation) we investigate the dependen...
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| Lenguaje: | Inglés |
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Wiley-VCH Verlag
2018
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 06034caa a22006257a 4500 | ||
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| 001 | PAPER-17112 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518204814.0 | ||
| 008 | 190410s2018 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-85043329935 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Del Pezzo, L. | |
| 245 | 1 | 3 | |a An optimization problem for the first eigenvalue of the p-fractional Laplacian |
| 260 | |b Wiley-VCH Verlag |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, Argentina; email: jfbonder@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Adams, R.A., Sobolev spaces (1975) Pure Appl. Math., 65. , Academic Press, A subsidiary of Harcourt Brace Jovanovich, Publishers, New York-London | ||
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| 504 | |a Brasco, L., Franzina, G., Convexity properties of Dirichlet integrals and Picone-type inequalities (2014) Kodai Math. J., 37 (3), pp. 769-799 | ||
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| 504 | |a Demengel, F., Demengel, G., (2012) Functional spaces for the theory of elliptic partial differential equations, translated from the 2007 French original by Reinie Erné, , Universitext, Springer, London | ||
| 504 | |a Castro, A.D., Kuusi, T., Palatucci, G., Local behavior of fractional p-minimizers (2016) Ann. Inst. H. Poincaré Anal. Non Linéaire, 33 (5), pp. 1279-1299 | ||
| 504 | |a Nezza, E.D., Palatucci, G., Valdinoci, E., Hitchhiker's guide to the fractional Sobolev spaces (2012) Bull. Sci. Math., 136 (5), pp. 521-573 | ||
| 504 | |a Bonder, J.F., Del Pezzo, L.M., An optimization problem for the first eigenvalue of the p-Laplacian plus a potential (2006) Commun. Pure Appl. Anal., 5 (4), pp. 675-690 | ||
| 504 | |a Franzina, G., Palatucci, G., Fractional p-eigenvalues (2014) Riv. Math. Univ. Parma (N. S.), 5 (2), pp. 315-328 | ||
| 504 | |a Grisvard, P., (1985) Elliptic problems in nonsmooth domains, Monographs and Studies in Mathematics, 24. , Pitman Advanced Publishing Program, Boston, MA | ||
| 504 | |a Iannizzotto, A., Mosconi, S., Squassina, M., Global Hölder regularity for the fractional p-Laplacian (2016) Rev. Mat. Iberoam., 32 (4), pp. 1353-1392 | ||
| 504 | |a Korvenpää, J., Kuusi, T., Lindgren, E., Equivalence of solutions to fractional p-Laplace type equations J. Math. Pures Appl., , (to appear) | ||
| 504 | |a Laskin, N., Fractional Schrödinger equation (2002) Phys. Rev. E (3), 66 (5), p. 56108. , 7 | ||
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| 504 | |a Rockafellar, R.T., Network flows and monotropic optimization (1984) Pure Appl. Math., , (N. Y.),, John Wiley & Sons, Inc., New York, A Wiley-Interscience Publication | ||
| 504 | |a Ryff, J.V., Majorized functions and measures (1968) Indag. Math., 30, pp. 431-437 | ||
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| 520 | 3 | |a In this paper we analyze an eigenvalue problem related to the nonlocal p-Laplace operator plus a potential. After reviewing some elementary properties of the first eigenvalue of these operators (existence, positivity of associated eigenfunctions, simplicity and isolation) we investigate the dependence of the first eigenvalue on the potential function and establish the existence of some optimal potentials in some admissible classes. © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim |l eng | |
| 536 | |a Detalles de la financiación: Universidad de Buenos Aires, UBACyT 20020130100283BA | ||
| 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 the Universidad de Buenos Aires under grant UBACyT 20020130100283BA and by ANPCyT under grant PICT 2012-0153. J. Fernández Bonder and Leandro M. Del Pezzo are members of CONICET. | ||
| 593 | |a Departamento de Matemática y Estadistica, Universidad Torcuato Di Tella, Av. Figueroa Alcorta 7350 (C1428BCW), C. A. de Buenos Aires, Argentina | ||
| 593 | |a Departamento de Matemática, FCEN - Universidad de Buenos Aires and IMAS - CONICET, Ciudad Universitaria, Pabellón I (C1428EGA) Av. Cantilo 2160, C. A. de Buenos Aires, Argentina | ||
| 690 | 1 | 0 | |a FRACTIONAL LAPLACIAN |
| 690 | 1 | 0 | |a NONLINEAR EIGENVALUES |
| 690 | 1 | 0 | |a OPTIMIZATION |
| 700 | 1 | |a Fernández Bonder, J. | |
| 700 | 1 | |a López Ríos, L. | |
| 773 | 0 | |d Wiley-VCH Verlag, 2018 |g v. 291 |h pp. 632-651 |k n. 4 |p Math. Nachr. |x 0025584X |t Mathematische Nachrichten | |
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| 856 | 4 | 0 | |u https://doi.org/10.1002/mana.201600110 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_0025584X_v291_n4_p632_DelPezzo |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v291_n4_p632_DelPezzo |y Registro en la Biblioteca Digital |
| 961 | |a paper_0025584X_v291_n4_p632_DelPezzo |b paper |c PE | ||
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| 999 | |c 78065 | ||