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Abstract:

This paper deals with the problem (Formula presented) where Ω R N is a bounded smooth domain, λ > 0 is a parameter and the reaction order q(x) is a Hölder continuous positive function satisfying q(x) > 1 for all x ò . The relevant feature here is that q is assumed to achieve the value one on ∂Ω. By assuming that q is subcritical, our main result states the existence of a positive solution for all λ > 0. We also study its asymptotic behavior as λ→ 0 and as λ→ ∞. It should be noticed that the fact that q = 1 somewhere in ∂Ω gives rise to serious difficulties when looking for critical points of the functional associated with the problem above. This work is a continuation of [13] where q is assumed to take values both greater and smaller than one in , but is constrained to satisfy q(x) > 1 on ∂Ω. © 2018 Walter de Gruyter GmbH, Berlin/Boston.

Registro:

Documento: Artículo
Título:A diffusion equation with a variable reaction order
Autor:García-Melián, J.; Rossi, J.D.; De Lis, J.C.S.
Filiación:Departamento de Análisis Matemático, IUEA, Universidad de la Laguna, P. O. Box 456, La Laguna, Tenerife, 38200, Spain
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pab. 1 (1428), Buenos Aires, Argentina
Palabras clave:A Priori Estimates; Palais-Smale Sequences; Variational Methods
Año:2018
Volumen:18
Número:3
Página de inicio:555
Página de fin:566
DOI: http://dx.doi.org/10.1515/ans-2017-6030
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_n3_p555_GarciaMelian

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Citas:

---------- APA ----------
García-Melián, J., Rossi, J.D. & De Lis, J.C.S. (2018) . A diffusion equation with a variable reaction order. Advanced Nonlinear Studies, 18(3), 555-566.
http://dx.doi.org/10.1515/ans-2017-6030
---------- CHICAGO ----------
García-Melián, J., Rossi, J.D., De Lis, J.C.S. "A diffusion equation with a variable reaction order" . Advanced Nonlinear Studies 18, no. 3 (2018) : 555-566.
http://dx.doi.org/10.1515/ans-2017-6030
---------- MLA ----------
García-Melián, J., Rossi, J.D., De Lis, J.C.S. "A diffusion equation with a variable reaction order" . Advanced Nonlinear Studies, vol. 18, no. 3, 2018, pp. 555-566.
http://dx.doi.org/10.1515/ans-2017-6030
---------- VANCOUVER ----------
García-Melián, J., Rossi, J.D., De Lis, J.C.S. A diffusion equation with a variable reaction order. Adv. Nonlinear Stud. 2018;18(3):555-566.
http://dx.doi.org/10.1515/ans-2017-6030