Artículo
Amster, P.; Déboli, A. "A Nonlinear Problem Depending on the Unknown Dirichlet Values of the Solution" (2010) Differential Equations and Dynamical Systems. 18(4):363-372
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Abstract:
A Neumann boundary value problem for a general two ion electro-diffusion model is studied. Unlike classical second order Neumann problems, the nonlinear equation considered in this work has the particularity that it depends on the unknown Dirichlet values of the solution. Using Leray-Schauder topological degree, we prove the existence of at least one solution under non-asymptotic conditions of Landesman-Lazer type. © 2010 Foundation for Scientific Research and Technological Innovation.
Registro:
| Documento: | Artículo |
| Título: | A Nonlinear Problem Depending on the Unknown Dirichlet Values of the Solution |
| Autor: | Amster, P.; Déboli, A. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I (1428), Buenos Aires, Argentina Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Buenos Aires, Argentina |
| Palabras clave: | Landesman-Lazer conditions; Topological degree; Two-ion electro-diffusion models |
| Año: | 2010 |
| Volumen: | 18 |
| Número: | 4 |
| Página de inicio: | 363 |
| Página de fin: | 372 |
| DOI: | http://dx.doi.org/10.1007/s12591-010-0070-2 |
| Título revista: | Differential Equations and Dynamical Systems |
| Título revista abreviado: | Differ. Equ. Dyn. Syst. |
| ISSN: | 09713514 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09713514_v18_n4_p363_Amster |
Referencias:
- Amster, P., Kwong, M.K., Rogers, C., On a Neumann Boundary Value Problem for Painlevé II in Two Ion Electro-Diffusion (submitted)
- Amster, P., Rogers, C., On boundary value problems in three-ion electrodiffusion (2007) J. Math. Anal. Appl., 333, pp. 42-51
- Amster, P., Mariani, M.C., Rogers, C., Tisdell, C.C., On two-point boundary value problems in muti-ion electrodiffusion (2004) J. Math. Anal. Appl., 289, pp. 712-721
- Bass, L., Electrical structures of interfaces in steady electrolysis (1964) Trans. Faraday. Soc., 60, pp. 1656-1663
- Bass, L., Potential of liquid junctions (1964) Trans. Faraday. Soc., 60, pp. 1914-1919
- Conte, R., Schief, W.K., Rogers, C., Painlevé structure of a multi-ion electrodiffusion system (2007) J. Phys.A, 40
- Landesman, E., Lazer, A., Nonlinear perturbations of linear elliptic boundary value problems at resonance (1970) J. Math. Mech., 19, pp. 609-623
- Leuchtag, H.R., A family of differential equations arising from multi-ion electrodiffusion (1981) J. Math. Phys., 22, pp. 1317-1320
- Mawhin, J., Landesman-Lazer conditions for boundary value problems: A nonlinear version of resonance (2000) Bol. Soc. Esp. Mat. Apl., 16, pp. 45-65
- Thompson, H.B., Existence for two-point boundary value problems in two ion electrodiffusion (1994) J. Math. Anal. Appl., 184 (1), pp. 82-94
Citas:
---------- APA ----------
Amster, P. & Déboli, A. (2010) . A Nonlinear Problem Depending on the Unknown Dirichlet Values of the Solution. Differential Equations and Dynamical Systems, 18(4), 363-372.http://dx.doi.org/10.1007/s12591-010-0070-2
---------- CHICAGO ----------
Amster, P., Déboli, A. "A Nonlinear Problem Depending on the Unknown Dirichlet Values of the Solution" . Differential Equations and Dynamical Systems 18, no. 4 (2010) : 363-372.http://dx.doi.org/10.1007/s12591-010-0070-2
---------- MLA ----------
Amster, P., Déboli, A. "A Nonlinear Problem Depending on the Unknown Dirichlet Values of the Solution" . Differential Equations and Dynamical Systems, vol. 18, no. 4, 2010, pp. 363-372.http://dx.doi.org/10.1007/s12591-010-0070-2
---------- VANCOUVER ----------
Amster, P., Déboli, A. A Nonlinear Problem Depending on the Unknown Dirichlet Values of the Solution. Differ. Equ. Dyn. Syst. 2010;18(4):363-372.http://dx.doi.org/10.1007/s12591-010-0070-2
