Artículo
Fernández Bonder, J.; Rossi, J.D.; Spedaletti, J.F. "Optimal Design Problems for the First p-Fractional Eigenvalue with Mixed Boundary Conditions" (2018) Advanced Nonlinear Studies. 18(2):323-335
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Abstract:
In this paper, we study an optimal shape design problem for the first eigenvalue of the fractional p-Laplacian with mixed boundary conditions. The optimization variable is the set where the Dirichlet condition is imposed (that is restricted to have measure equal to a prescribed quantity α). We show existence of an optimal design and analyze the asymptotic behavior when the fractional parameter s converges to 1, and thus obtain asymptotic bounds that are independent of α. © 2018 Walter de Gruyter GmbH, Berlin/Boston 2018.
Registro:
| Documento: | Artículo |
| Título: | Optimal Design Problems for the First p-Fractional Eigenvalue with Mixed Boundary Conditions |
| Autor: | Fernández Bonder, J.; Rossi, J.D.; Spedaletti, J.F. |
| Filiación: | Departamento de Matemática FCEN, Universidad de Buenos Aires, IMAS-CONICET, Ciudad Universitaria, Pabellón i (C1428EGA), Av. Cantilo 2160, Buenos Aires, Argentina Departamento de Matemática, Universidad Nacional de San Luis, IMASL-CONICET, Ejército de los Andes 950, San Luis, D5700HHW, Argentina |
| Palabras clave: | Fractional Laplacian; Gamma Convergence; Shape Optimization |
| Año: | 2018 |
| Volumen: | 18 |
| Número: | 2 |
| Página de inicio: | 323 |
| Página de fin: | 335 |
| DOI: | http://dx.doi.org/10.1515/ans-2018-0001 |
| Título revista: | Advanced Nonlinear Studies |
| Título revista abreviado: | Adv. Nonlinear Stud. |
| ISSN: | 15361365 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v18_n2_p323_FernandezBonder |
Referencias:
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Citas:
---------- APA ----------
Fernández Bonder, J., Rossi, J.D. & Spedaletti, J.F. (2018) . Optimal Design Problems for the First p-Fractional Eigenvalue with Mixed Boundary Conditions. Advanced Nonlinear Studies, 18(2), 323-335.http://dx.doi.org/10.1515/ans-2018-0001
---------- CHICAGO ----------
Fernández Bonder, J., Rossi, J.D., Spedaletti, J.F. "Optimal Design Problems for the First p-Fractional Eigenvalue with Mixed Boundary Conditions" . Advanced Nonlinear Studies 18, no. 2 (2018) : 323-335.http://dx.doi.org/10.1515/ans-2018-0001
---------- MLA ----------
Fernández Bonder, J., Rossi, J.D., Spedaletti, J.F. "Optimal Design Problems for the First p-Fractional Eigenvalue with Mixed Boundary Conditions" . Advanced Nonlinear Studies, vol. 18, no. 2, 2018, pp. 323-335.http://dx.doi.org/10.1515/ans-2018-0001
---------- VANCOUVER ----------
Fernández Bonder, J., Rossi, J.D., Spedaletti, J.F. Optimal Design Problems for the First p-Fractional Eigenvalue with Mixed Boundary Conditions. Adv. Nonlinear Stud. 2018;18(2):323-335.http://dx.doi.org/10.1515/ans-2018-0001
