A Nonlinear Problem Depending on the Unknown Dirichlet Values of the Solution
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 topolo...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2010
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 04271caa a22004937a 4500 | ||
|---|---|---|---|
| 001 | PAPER-7616 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518203722.0 | ||
| 008 | 190411s2010 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-84859726092 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Amster, P. | |
| 245 | 1 | 2 | |a A Nonlinear Problem Depending on the Unknown Dirichlet Values of the Solution |
| 260 | |c 2010 | ||
| 270 | 1 | 0 | |m Amster, P.; Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I (1428), Buenos Aires, Argentina; email: pamster@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Amster, P., Kwong, M.K., Rogers, C., On a Neumann Boundary Value Problem for Painlevé II in Two Ion Electro-Diffusion (submitted) | ||
| 504 | |a Amster, P., Rogers, C., On boundary value problems in three-ion electrodiffusion (2007) J. Math. Anal. Appl., 333, pp. 42-51 | ||
| 504 | |a 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 | ||
| 504 | |a Bass, L., Electrical structures of interfaces in steady electrolysis (1964) Trans. Faraday. Soc., 60, pp. 1656-1663 | ||
| 504 | |a Bass, L., Potential of liquid junctions (1964) Trans. Faraday. Soc., 60, pp. 1914-1919 | ||
| 504 | |a Conte, R., Schief, W.K., Rogers, C., Painlevé structure of a multi-ion electrodiffusion system (2007) J. Phys.A, 40 | ||
| 504 | |a Landesman, E., Lazer, A., Nonlinear perturbations of linear elliptic boundary value problems at resonance (1970) J. Math. Mech., 19, pp. 609-623 | ||
| 504 | |a Leuchtag, H.R., A family of differential equations arising from multi-ion electrodiffusion (1981) J. Math. Phys., 22, pp. 1317-1320 | ||
| 504 | |a Mawhin, J., Landesman-Lazer conditions for boundary value problems: A nonlinear version of resonance (2000) Bol. Soc. Esp. Mat. Apl., 16, pp. 45-65 | ||
| 504 | |a Thompson, H.B., Existence for two-point boundary value problems in two ion electrodiffusion (1994) J. Math. Anal. Appl., 184 (1), pp. 82-94 | ||
| 520 | 3 | |a 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. |l eng | |
| 536 | |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas | ||
| 536 | |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas | ||
| 536 | |a Detalles de la financiación: P. Amster Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Buenos Aires, Argentina | ||
| 593 | |a Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I (1428), Buenos Aires, Argentina | ||
| 593 | |a Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Buenos Aires, Argentina | ||
| 690 | 1 | 0 | |a LANDESMAN-LAZER CONDITIONS |
| 690 | 1 | 0 | |a TOPOLOGICAL DEGREE |
| 690 | 1 | 0 | |a TWO-ION ELECTRO-DIFFUSION MODELS |
| 700 | 1 | |a Déboli, A. | |
| 773 | 0 | |d 2010 |g v. 18 |h pp. 363-372 |k n. 4 |p Differ. Equ. Dyn. Syst. |x 09713514 |t Differential Equations and Dynamical Systems | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-84859726092&doi=10.1007%2fs12591-010-0070-2&partnerID=40&md5=adca9b0631462c53a764ea9473161a2c |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s12591-010-0070-2 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_09713514_v18_n4_p363_Amster |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09713514_v18_n4_p363_Amster |y Registro en la Biblioteca Digital |
| 961 | |a paper_09713514_v18_n4_p363_Amster |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 68569 | ||