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
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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
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Palabras clave: | A Priori Estimates; Palais-Smale Sequences; Variational Methods |
Año: | 2018
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Volumen: | 18
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Número: | 3
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Página de inicio: | 555
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Página de fin: | 566
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DOI: |
http://dx.doi.org/10.1515/ans-2017-6030 |
Título revista: | Advanced Nonlinear Studies
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Título revista abreviado: | Adv. Nonlinear Stud.
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ISSN: | 15361365
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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