Artículo

García-Melián, J.; Rossi, J.D.; de Lis, J.C.S. "A variable exponent diffusion problem of concave-convex nature" (2016) Topological Methods in Nonlinear Analysis. 47(2):613-639
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Abstract:

We deal with the problem (formula presented) Where Ω ⊂ ℝN is a bounded smooth domain, λ > 0 is a parameter and the exponent q(x) is a continuous positive function that takes values both greater than and less than one in Ω. It is therefore a kind of concave-convex problem where the presence of the interphase q = 1 in Ω poses some new diffculties to be tackled. The results proved in this work are the existence of λ* > 0 such that no positive solutions are possible for λ > λ*, the existence and structural properties of a branch of minimal solutions, uλ, 0 < λ < λ*, and, finally, the existence for all λ ∊ (0; λ*) of a second positive solution. © 2016 Juliusz Schauder Centre for Nonlinear Studies.

Registro:

Documento: Artículo
Título:A variable exponent diffusion problem of concave-convex nature
Autor:García-Melián, J.; Rossi, J.D.; de Lis, J.C.S.
Filiación:Departamento de Análisis Matemático, Universidad de La Laguna, C. Astrofísico Francisco Sánchez s/n, La Laguna, 38200, Spain
Instituto Universitario de Estudios Avanzados (IUdEA), Física Atómica, Molecular y Fotónica, Universidad de La Laguna, C. Astrofísico Francisco Sánchez s/n, La Laguna, 38200, Spain
Departamento de Matemática, FCEyN UBA, Ciudad Universitaria, Pab 1, Buenos Aires, 1428, Argentina
Palabras clave:A priori bounds; Concave-convex; Leray–Schauder degree; Minimal solution; Variable exponent
Año:2016
Volumen:47
Número:2
Página de inicio:613
Página de fin:639
DOI: http://dx.doi.org/10.12775/TMNA.2016.019
Título revista:Topological Methods in Nonlinear Analysis
Título revista abreviado:Topol. Method Nonlinear Anal.
ISSN:12303429
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12303429_v47_n2_p613_GarciaMelian

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Citas:

---------- APA ----------
García-Melián, J., Rossi, J.D. & de Lis, J.C.S. (2016) . A variable exponent diffusion problem of concave-convex nature. Topological Methods in Nonlinear Analysis, 47(2), 613-639.
http://dx.doi.org/10.12775/TMNA.2016.019
---------- CHICAGO ----------
García-Melián, J., Rossi, J.D., de Lis, J.C.S. "A variable exponent diffusion problem of concave-convex nature" . Topological Methods in Nonlinear Analysis 47, no. 2 (2016) : 613-639.
http://dx.doi.org/10.12775/TMNA.2016.019
---------- MLA ----------
García-Melián, J., Rossi, J.D., de Lis, J.C.S. "A variable exponent diffusion problem of concave-convex nature" . Topological Methods in Nonlinear Analysis, vol. 47, no. 2, 2016, pp. 613-639.
http://dx.doi.org/10.12775/TMNA.2016.019
---------- VANCOUVER ----------
García-Melián, J., Rossi, J.D., de Lis, J.C.S. A variable exponent diffusion problem of concave-convex nature. Topol. Method Nonlinear Anal. 2016;47(2):613-639.
http://dx.doi.org/10.12775/TMNA.2016.019