Published

1993-01-01

Multiple radial solutions for a semilinear dirichlet problem in a ball

Keywords:

Semi-linéaires, problèmes elliptiques, la valeur limite, valeur propre, le théorème de bifurcation globale, les valeurs de bifurcation (es)

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Authors

  • Alfonso Castro University of North Tezas
  • Jorge Cossio Universidad Nacional de Colombia

We prove that a semilinear elliptic boundary value problem in a ball has 4j -1 radially symmetric solutions when the nonlinearity has a positive zero and the range of the derivative of the nonlinearity includes at least the first j eigenvalues. We make extensive use of the global bifurcation theorem, bifurcation from infinity, and bifurcation from simple eigenvalues.

How to Cite

APA

Castro, A. and Cossio, J. (1993). Multiple radial solutions for a semilinear dirichlet problem in a ball. Revista Colombiana de Matemáticas, 27(1-2), 15–24. https://revistas.unal.edu.co/index.php/recolma/article/view/33560

ACM

[1]
Castro, A. and Cossio, J. 1993. Multiple radial solutions for a semilinear dirichlet problem in a ball. Revista Colombiana de Matemáticas. 27, 1-2 (Jan. 1993), 15–24.

ACS

(1)
Castro, A.; Cossio, J. Multiple radial solutions for a semilinear dirichlet problem in a ball. rev.colomb.mat 1993, 27, 15-24.

ABNT

CASTRO, A.; COSSIO, J. Multiple radial solutions for a semilinear dirichlet problem in a ball. Revista Colombiana de Matemáticas, [S. l.], v. 27, n. 1-2, p. 15–24, 1993. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33560. Acesso em: 22 jan. 2025.

Chicago

Castro, Alfonso, and Jorge Cossio. 1993. “Multiple radial solutions for a semilinear dirichlet problem in a ball”. Revista Colombiana De Matemáticas 27 (1-2):15-24. https://revistas.unal.edu.co/index.php/recolma/article/view/33560.

Harvard

Castro, A. and Cossio, J. (1993) “Multiple radial solutions for a semilinear dirichlet problem in a ball”, Revista Colombiana de Matemáticas, 27(1-2), pp. 15–24. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33560 (Accessed: 22 January 2025).

IEEE

[1]
A. Castro and J. Cossio, “Multiple radial solutions for a semilinear dirichlet problem in a ball”, rev.colomb.mat, vol. 27, no. 1-2, pp. 15–24, Jan. 1993.

MLA

Castro, A., and J. Cossio. “Multiple radial solutions for a semilinear dirichlet problem in a ball”. Revista Colombiana de Matemáticas, vol. 27, no. 1-2, Jan. 1993, pp. 15-24, https://revistas.unal.edu.co/index.php/recolma/article/view/33560.

Turabian

Castro, Alfonso, and Jorge Cossio. “Multiple radial solutions for a semilinear dirichlet problem in a ball”. Revista Colombiana de Matemáticas 27, no. 1-2 (January 1, 1993): 15–24. Accessed January 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33560.

Vancouver

1.
Castro A, Cossio J. Multiple radial solutions for a semilinear dirichlet problem in a ball. rev.colomb.mat [Internet]. 1993 Jan. 1 [cited 2025 Jan. 22];27(1-2):15-24. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/33560

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Copyright (c) 1993 Revista Colombiana de Matemáticas

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