An optimal mass transport approach for limits of eigenvalue problems for the fractional p-Laplacian
We find an interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional p-Laplacian operators as p → +∞. We deal both with Dirichlet and Neumann boundary conditions. © 2015 by De Gruyter.
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Walter de Gruyter GmbH
2015
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| LEADER | 05993caa a22006377a 4500 | ||
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| 003 | AR-BaUEN | ||
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| 008 | 190411s2015 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-84939211861 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Del Pezzo, L. | |
| 245 | 1 | 3 | |a An optimal mass transport approach for limits of eigenvalue problems for the fractional p-Laplacian |
| 260 | |b Walter de Gruyter GmbH |c 2015 | ||
| 506 | |2 openaire |e Política editorial | ||
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| 504 | |a Bhattacharya, T., Di Benedetto, E., Manfredi, J., Limits asp oo of h<inf>p</inf>u<inf>p</inf> = f and related extremal problems (1989) Rend. Semin. Mat. Univ. Politec. Torino, 47, pp. 15-18. , special issue | ||
| 504 | |a Champion, T., De Pascale, L., Jimenez, C., The oo-eigenvalue problem and a problem of optimal transportation (2009) Commun. Appl.Anal., 13 (4), pp. 547-565 | ||
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| 504 | |a Dal Maso, G., An Introduction to G-Convergence (1993) Progr. Nonlinear Differential Equations Appl., 8. , Birkhäuser, Boston | ||
| 504 | |a Del Pezzo, L.M., Salort, A.M., The first non-zero Neumann p-fractional eigenvalue (2015) Nonlinear Anal., 118, pp. 130-143 | ||
| 504 | |a Demengel, F., Demengel, G., (2012) Functional Spaces for the Theory of Elliptic Partial Differential Equations, , Universitext, Springer, London | ||
| 504 | |a Dipierro, S., Ros-Oton, X., Valdinoci, E., (2014) Nonlocal Problems with Neumann Boundary Conditions, , http://arxiv.org/absl407.3313, preprint | ||
| 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 | ||
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| 504 | |a Jensen, R., Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient (1993) Arch. Ration. Mech.Anal., 123 (1), pp. 51-74 | ||
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| 504 | |a Jylha, H., An optimal transportation problem related to the limits of solutions of local and nonlocalp-Laplace-type problems (2015) Rev. Mat. Complut., 28 (1), pp. 85-121 | ||
| 504 | |a Lê, A., On the first eigenvalue of the Steklov eigenvalue problem for the infinity Laplacian (2006) Electron. J. Differential Equations, 111, pp. 1-9 | ||
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| 504 | |a Molica Bisci, G., Sequence of weak solutions for fractional equations (2014) Math. Res. Lett., 21 (2), pp. 241-253 | ||
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| 504 | |a Rossi, J.D., Saintier, N., On the first nontrivial eigenvalue of theoo-Laplacian with Neumann boundary conditions Houston J. Math, , to appear | ||
| 504 | |a Villani, C., Optimal transport (2009) Old and New Grundlehren Math. Wiss., 338. , Springer, Berlin | ||
| 520 | 3 | |a We find an interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional p-Laplacian operators as p → +∞. We deal both with Dirichlet and Neumann boundary conditions. © 2015 by De Gruyter. |l eng | |
| 593 | |a Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón 1, Buenos Aires, 1428, Argentina | ||
| 593 | |a Instituto de Ciencias, Universidad Nacional de General Sarmiento, Juan María Gutierrez 1150, Los Polvorines, Provincia de Buenos Aires, C. P. 1613, Argentina | ||
| 690 | 1 | 0 | |a EIGENVALUES |
| 690 | 1 | 0 | |a FRACTIONAL P-LAPLACIAN |
| 690 | 1 | 0 | |a MASS TRANSPORT |
| 700 | 1 | |a Rossi, J. | |
| 700 | 1 | |a Saintier, N. | |
| 700 | 1 | |a Salort, A. | |
| 773 | 0 | |d Walter de Gruyter GmbH, 2015 |g v. 4 |h pp. 235-249 |k n. 3 |p Adv. Nonlinear Anal. |x 21919496 |t Advances in Nonlinear Analysis | |
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| 856 | 4 | 0 | |u https://doi.org/10.1515/anona-2015-0013 |y DOI |
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