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Abstract:

In this paper we show existence of solutions for some elliptic problems with nonlocal diffusion by means of nonvariational tools. Our proof is based on the use of topological degree, which requires a priori bounds for the solutions. We obtain the a priori bounds by adapting the classical scaling method of Gidas and Spruck. We also deal with problems involving gradient terms. © 2018 European Mathematical Society.

Registro:

Documento: Artículo
Título:A priori bounds and existence of solutions for some nonlocal elliptic problems
Autor:Barrios, B.; Del Pezzo, L.; García-Melián, J.; Quaas, A.
Filiación:Department of Mathematics, University of Texas at Austin, Mathematics Dept., RLM 8.100 2515 Speedway Stop C1200, Austin, TX 78712-1202, United States
CONICET, Departamento de Matemática, Ciudad Universitaria (Pab I), Buenos Aires, 1428, Argentina
Departamento de Análisis Matemático, Universidad de la Laguna, C/ Astrofísico Francisco Sánchez s/n, La Laguna, 38271, Spain
Instituto Universitario de Estudios Avanzados (IUdEA) en Física Atómica, Molecular y Fotónica, Universidad de la Laguna, C/ Astrofísico Francisco Sánchez s/n, La Laguna, 38203, Spain
Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla V-110, Avda. España, Valparaíso, 1680, Chile
Palabras clave:A priori estimates; Nonlocal diffusion problems; Topological degree
Año:2018
Volumen:34
Número:1
Página de inicio:195
Página de fin:220
DOI: http://dx.doi.org/10.4171/rmi/983
Título revista:Revista Matematica Iberoamericana
Título revista abreviado:Rev. Mat. Iberoam.
ISSN:02132230
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02132230_v34_n1_p195_Barrios

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Citas:

---------- APA ----------
Barrios, B., Del Pezzo, L., García-Melián, J. & Quaas, A. (2018) . A priori bounds and existence of solutions for some nonlocal elliptic problems. Revista Matematica Iberoamericana, 34(1), 195-220.
http://dx.doi.org/10.4171/rmi/983
---------- CHICAGO ----------
Barrios, B., Del Pezzo, L., García-Melián, J., Quaas, A. "A priori bounds and existence of solutions for some nonlocal elliptic problems" . Revista Matematica Iberoamericana 34, no. 1 (2018) : 195-220.
http://dx.doi.org/10.4171/rmi/983
---------- MLA ----------
Barrios, B., Del Pezzo, L., García-Melián, J., Quaas, A. "A priori bounds and existence of solutions for some nonlocal elliptic problems" . Revista Matematica Iberoamericana, vol. 34, no. 1, 2018, pp. 195-220.
http://dx.doi.org/10.4171/rmi/983
---------- VANCOUVER ----------
Barrios, B., Del Pezzo, L., García-Melián, J., Quaas, A. A priori bounds and existence of solutions for some nonlocal elliptic problems. Rev. Mat. Iberoam. 2018;34(1):195-220.
http://dx.doi.org/10.4171/rmi/983