Artículo

Amster, P.; De Nápoli, P.; Mariani, M.C. "An n-dimensional pendulum-like equation via topological methods" (2005) Nonlinear Analysis, Theory, Methods and Applications. 60(2):389-398
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Abstract:

We study the elliptic boundary value problem Δu + g(u) = p(x) with nonlinear periodic-type boundary conditions. We prove the existence of a solution under a Landesman-Lazer-type condition. Moreover, using the method of upper and lower solutions we study a problem which concerns the range of the semilinear operator Su = Δu + g(u). © 2004 Elsevier Ltd. All rights reserved.

Registro:

Documento: Artículo
Título:An n-dimensional pendulum-like equation via topological methods
Autor:Amster, P.; De Nápoli, P.; Mariani, M.C.
Filiación:Departamento de Mátematica, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón I, (1428) Buenos Aires, Argentina
CONICET, Rivadavia 1917, C1033AAJ Buenos Aires, Argentina
Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003-0001, United States
Palabras clave:Coincidence degree methods; Elliptic problems; Boundary conditions; Functions; Mathematical models; Problem solving; Theorem proving; Bounded domains; coincidence degree methods; Elliptic problems; Topological methods; Topology
Año:2005
Volumen:60
Número:2
Página de inicio:389
Página de fin:398
DOI: http://dx.doi.org/10.1016/j.na.2004.01.012
Título revista:Nonlinear Analysis, Theory, Methods and Applications
Título revista abreviado:Nonlinear Anal Theory Methods Appl
ISSN:0362546X
CODEN:NOAND
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v60_n2_p389_Amster

Referencias:

  • Amster, P., De Nápoli, P., Mariani, M.C., (2003) A n-dimensional Pendulum-like Equation, , preprint
  • Berestycki, B., Brezis, H., On a free boundary problem arising in plasma physics (1980) Nonlinear Anal., 4 (3), pp. 415-436
  • Castro, A., Periodic solutions of the forced pendulum equation (1980) J. Differential Equations, pp. 149-160
  • Foumier, G., Mawhin, J., On periodic solutions of forced pendulum-like equations (1985) J. Differential Equations, 60, pp. 381-395
  • Lazer, A., A Second look at the first result of Landesman-Lazer type (2000) J. Differential Equations, pp. 113-119. , Electron Conf. 05
  • Mawhin, J., Topological degree methods in nonlinear boundary value problems (1979) NSF-CBMS Regional Conference in Mathematics, 40. , American Mathematical Society, Providence, RI
  • Ortega, R., Nonexistence of radial solutions of two elliptic boundary value problems (1990) Proc. R. Soc. Edinburgh, 114 A, pp. 27-31

Citas:

---------- APA ----------
Amster, P., De Nápoli, P. & Mariani, M.C. (2005) . An n-dimensional pendulum-like equation via topological methods. Nonlinear Analysis, Theory, Methods and Applications, 60(2), 389-398.
http://dx.doi.org/10.1016/j.na.2004.01.012
---------- CHICAGO ----------
Amster, P., De Nápoli, P., Mariani, M.C. "An n-dimensional pendulum-like equation via topological methods" . Nonlinear Analysis, Theory, Methods and Applications 60, no. 2 (2005) : 389-398.
http://dx.doi.org/10.1016/j.na.2004.01.012
---------- MLA ----------
Amster, P., De Nápoli, P., Mariani, M.C. "An n-dimensional pendulum-like equation via topological methods" . Nonlinear Analysis, Theory, Methods and Applications, vol. 60, no. 2, 2005, pp. 389-398.
http://dx.doi.org/10.1016/j.na.2004.01.012
---------- VANCOUVER ----------
Amster, P., De Nápoli, P., Mariani, M.C. An n-dimensional pendulum-like equation via topological methods. Nonlinear Anal Theory Methods Appl. 2005;60(2):389-398.
http://dx.doi.org/10.1016/j.na.2004.01.012