Artículo
Amster, P.; Mariani, M.C.; Méndez, O. "Nonlinear boundary conditions for elliptic equations" (2005) Electronic Journal of Differential Equations. 2005:1-8
Este artículo es de Acceso Abierto y puede ser descargado en su versión final desde nuestro repositorio
Consulte la política de Acceso Abierto del editor
Abstract:
This work is devoted to the study of the elliptic equation Δu = f(x, u) in a bounded domain Ω ⊂ ℝ n with a nonlinear boundary condition. We obtain various existence results applying coincidence degree theory and the method of upper and lower solutions. © 2005 Texas State University - San Marcos.
Registro:
| Documento: | Artículo |
| Título: | Nonlinear boundary conditions for elliptic equations |
| Autor: | Amster, P.; Mariani, M.C.; Méndez, O. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, (1428) Buenos Aires, Argentina Consejo Nacional de Investigaciones Científicas y Técnicas (Conicet), Argentina Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003-8001, United States Department of Mathematics, 124 Bell Hall, University of Texas at El Paso, 500W University Ave., EL Paso, TX 79968, United States |
| Palabras clave: | Nonlinear boundary conditions; Nonlinear elliptic problems; Topological methods |
| Año: | 2005 |
| Volumen: | 2005 |
| Página de inicio: | 1 |
| Página de fin: | 8 |
| Título revista: | Electronic Journal of Differential Equations |
| Título revista abreviado: | Electron. J. Differ. Equ. |
| ISSN: | 10726691 |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10726691_v2005_n_p1_Amster.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2005_n_p1_Amster |
Referencias:
- Fang, H., Wang, Z.C., Periodic boundary value problems of impulsive differential equations (2001) Applied Mathematics E-notes, 1, pp. 77-85
- Gaines, R., Mawhin, J., (1997) Lecture Notes in Mathematics, 586. , Springer-Verlag, Berlin
- Grisvard, P., (1985) Elliptic Problems in Nonsmooth Domains, , Pitman
- Iyase, S., Non-resonant oscillations for some fourth-order differential equations with delay (1999) Math. Proc. of the Royal Irish Academy, 99 A (1), pp. 113-121
- Inkmann, F., Existence and multiplicity theorems for semilinear elliptic equations with non-linear boundary conditions (1982) Indiana Univ. Math J., 31, pp. 213-221
- Landesman, E., Lazer, A., Nonlinear perturbations of linear elliptic boundary value problems at resonance (1970) J. Math. Mech., 19, pp. 609-623
- Lazer, A., A second look at the first result of landesman-lazer type (2000) Electron. J. Diff. Eqns., Conf., 5, pp. 113-119
- Lanzani, L., Méndez, O., The Poisson's problem for the Laplacian with Robin boundary condition in non-smooth domains Revista Matemática Iberoamericana, , to appear in
- Lions, J., Magenes, E., (1972) Non-Homogeneous Boundary Value Problems and Applications, I, II, , Springer Verlag
- Mawhin, J., Topological degree methods in nonlinear boundary value problems (1979) NSF-CBMS Regional Conference in Mathematics No. 40, 40. , American Mathematical Society, Providence, RI
- Mawhin, J., Landesman-Lazer conditions for boundary value problems: A nonlinear version of resonance (2000) Bol. de la Sociedad Española de Mat.Aplicada, 16, pp. 45-65
- Mawhin, J., Schmitt, K., Upper and lower solutions and semilinear second order elliptic equations with non-linear boundary conditions (1984) Proc. Royal Soc. Edinburgh, 97 A, pp. 199-207
- Mawhin, J., Schmitt, K., Corrigendum: Upper and lower solutions and semilinear second order elliptic equations with non-linear boundary conditions (1985) Proc. Royal Soc. Edinburgh, 100 A, p. 361
Citas:
---------- APA ----------
Amster, P., Mariani, M.C. & Méndez, O. (2005) . Nonlinear boundary conditions for elliptic equations. Electronic Journal of Differential Equations, 2005, 1-8.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2005_n_p1_Amster [ ]
---------- CHICAGO ----------
Amster, P., Mariani, M.C., Méndez, O. "Nonlinear boundary conditions for elliptic equations" . Electronic Journal of Differential Equations 2005 (2005) : 1-8.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2005_n_p1_Amster [ ]
---------- MLA ----------
Amster, P., Mariani, M.C., Méndez, O. "Nonlinear boundary conditions for elliptic equations" . Electronic Journal of Differential Equations, vol. 2005, 2005, pp. 1-8.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2005_n_p1_Amster [ ]
---------- VANCOUVER ----------
Amster, P., Mariani, M.C., Méndez, O. Nonlinear boundary conditions for elliptic equations. Electron. J. Differ. Equ. 2005;2005:1-8.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2005_n_p1_Amster [ ]
