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Abstract:

We prove the existence of infinitely many stationary solutions of a nonlinear one-dimensional superlinear equation on time scales using a Lusternik-Schnirelmann type result.

Registro:

Documento: Artículo
Título:On multiplicity of solutions of a superlinear equation on time scales
Autor:Amster, P.
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), Buenos Aires, Argentina
Palabras clave:Boundary value problem; Lusternik- Schnirelmann theory; Time scale; Variational methods
Año:2007
Volumen:13
Número:11
Página de inicio:1051
Página de fin:1058
DOI: http://dx.doi.org/10.1080/10236190701414561
Título revista:Journal of Difference Equations and Applications
Título revista abreviado:J. Differ. Equ. Appl.
ISSN:10236198
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10236198_v13_n11_p1051_Amster.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10236198_v13_n11_p1051_Amster

Referencias:

  • Agarwal, R.P., Otero-Espinar, V., Perera, K. and Vivero, D., 2006, Art. ID 38121 Advances in Difference Equations, 14; Berestycki, H., Lions, P.-L., Nonlinear scalar field equations I. Existence of a ground state (1983) Archive for Rational Mechanics and Analysis, 82 (4), pp. 313-345
  • Bohner, M., Peterson, A., (2001) Dynamic Equations on Time Scales. An Introduction with Applications, , Boston, MA: Birkhäuser Boston, Inc
  • Bohner, M., Guseinov, G., Peterson, A., (2003) Introduction to the Time Scales Calculus. Advances in Dynamic Equations on Time Scales, pp. 1-15. , Boston, MA: Birkhäuser Boston, pp
  • Cazenave, T., 1989, An Introduction to Nonlinear Schrädinger Equation Textos de Métodos Matemáticos 22 (Rio de Janeiro: I.M.U.F.R.J.); Clark, D., A variant of the Lusternik-Schnirelman theory (1972) Indiana University Mathematics Journal, 22 (1), pp. 65-74
  • Guseinov, G., Integration on time scales (2003) Journal of Mathematical Analysis and Applications, 285 (1), pp. 107-127
  • Hilger, S., Analysis on measure chains - a unified approach to continuous and discrete calculus (1990) Results in Mathematics, 18 (1-2), pp. 18-56
  • Lebowitz, J., Rose, H., Speer, E., Statistical mechanics of the linear Schrödinger equation (1988) Journal of Statistical Physics, 50 (3-4), pp. 657-687
  • Lloyd, N., (1978) Degree Theory, , Cambridge: Cambridge University Press
  • Strauss, W., Existence of solitary waves in higher dimensions (1977) Communications in Mathematical Physics, 55 (2), pp. 149-162
  • Weinstein, M., Nonlinear Schrödinger equations and sharp interpolation estimates (1982) Communications in Mathematical Physics, 87 (4), pp. 567-576

Citas:

---------- APA ----------
(2007) . On multiplicity of solutions of a superlinear equation on time scales. Journal of Difference Equations and Applications, 13(11), 1051-1058.
http://dx.doi.org/10.1080/10236190701414561
---------- CHICAGO ----------
Amster, P. "On multiplicity of solutions of a superlinear equation on time scales" . Journal of Difference Equations and Applications 13, no. 11 (2007) : 1051-1058.
http://dx.doi.org/10.1080/10236190701414561
---------- MLA ----------
Amster, P. "On multiplicity of solutions of a superlinear equation on time scales" . Journal of Difference Equations and Applications, vol. 13, no. 11, 2007, pp. 1051-1058.
http://dx.doi.org/10.1080/10236190701414561
---------- VANCOUVER ----------
Amster, P. On multiplicity of solutions of a superlinear equation on time scales. J. Differ. Equ. Appl. 2007;13(11):1051-1058.
http://dx.doi.org/10.1080/10236190701414561