Publicado

2008-07-01

Nontrivial solutions for a Robin problem with a nonlinear term asymptotically linear at — ∞ and superlinear at + ∞

Soluciones no triviales para un problema de Robin con un término no lineal asintótico en — ∞ y superlineal en + ∞

Palabras clave:

Robin problems, weak solutions, Sobolev spaces, functional, Palais-Smale condition, critical points, 2000 Mathematics Subject Classification. 35J67, 35J25, 35J60 (en)
Problemas de Robin, soluciones débiles, espacios de Sobolev, funcionales, condición de Palais-Smale, puntos críticos (es)

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Autores/as

  • Rafael A. Castro T. Universidad Industrial de Santander, Bucaramanga, Colombia

Abstract. In this paper we study the existence of solutions for a Robin problem, with a nonlinear term with subcritical growth respect to a variable

 

En este artículo estudiamos la existencia de soluciones de un problema de Robin, con término no lineal con crecimiento subcrítico respecto a una variable.

Referencias

Arcoya, D., and Villegas, S. Nontrivial solutions for a Neumann problem with a nonlinear term asymptotically linear at — ∞ and superlinear at + ∞. M ath.-Z 219, 4 (1995), 499-513.

Castro, R. A. Convergencia de dos sucesiones. Rexnsta Integración-UIS 23, 2 (2005), 41-44.

Castro, R. A. Regularity of the solutions for a Robin problem and some applications. Revista Colombiana de Matemáticas (2008). Este volumen.

De Figueiredo, D. G. On superlinear elliptic problems with nonlinearities interacting only with higher eigenvalues. Rocky Mountain Journal of Mathematics 18, 2 (1988), 287-303.

Evans, L. C., and Gariepy, R. F. Lectures notes on measure theory and fine properties of functions. University of Kentucky, Kentucky, 1992. Department of Mathematics.

Silva, E. A. Linking theorems and applications to semilinear elliptic problems at reso nance. Nonlinear Analysis, Theory, Methods & Applications 16, 5 (1991), 455—477.

Cómo citar

APA

Castro T., R. A. (2008). Nontrivial solutions for a Robin problem with a nonlinear term asymptotically linear at — ∞ and superlinear at + ∞. Revista Colombiana de Matemáticas, 42(2), 101–126. https://revistas.unal.edu.co/index.php/recolma/article/view/95000

ACM

[1]
Castro T., R.A. 2008. Nontrivial solutions for a Robin problem with a nonlinear term asymptotically linear at — ∞ and superlinear at + ∞. Revista Colombiana de Matemáticas. 42, 2 (jul. 2008), 101–126.

ACS

(1)
Castro T., R. A. Nontrivial solutions for a Robin problem with a nonlinear term asymptotically linear at — ∞ and superlinear at + ∞. rev.colomb.mat 2008, 42, 101-126.

ABNT

CASTRO T., R. A. Nontrivial solutions for a Robin problem with a nonlinear term asymptotically linear at — ∞ and superlinear at + ∞. Revista Colombiana de Matemáticas, [S. l.], v. 42, n. 2, p. 101–126, 2008. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/95000. Acesso em: 31 ago. 2024.

Chicago

Castro T., Rafael A. 2008. «Nontrivial solutions for a Robin problem with a nonlinear term asymptotically linear at — ∞ and superlinear at + ∞». Revista Colombiana De Matemáticas 42 (2):101-26. https://revistas.unal.edu.co/index.php/recolma/article/view/95000.

Harvard

Castro T., R. A. (2008) «Nontrivial solutions for a Robin problem with a nonlinear term asymptotically linear at — ∞ and superlinear at + ∞», Revista Colombiana de Matemáticas, 42(2), pp. 101–126. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/95000 (Accedido: 31 agosto 2024).

IEEE

[1]
R. A. Castro T., «Nontrivial solutions for a Robin problem with a nonlinear term asymptotically linear at — ∞ and superlinear at + ∞», rev.colomb.mat, vol. 42, n.º 2, pp. 101–126, jul. 2008.

MLA

Castro T., R. A. «Nontrivial solutions for a Robin problem with a nonlinear term asymptotically linear at — ∞ and superlinear at + ∞». Revista Colombiana de Matemáticas, vol. 42, n.º 2, julio de 2008, pp. 101-26, https://revistas.unal.edu.co/index.php/recolma/article/view/95000.

Turabian

Castro T., Rafael A. «Nontrivial solutions for a Robin problem with a nonlinear term asymptotically linear at — ∞ and superlinear at + ∞». Revista Colombiana de Matemáticas 42, no. 2 (julio 1, 2008): 101–126. Accedido agosto 31, 2024. https://revistas.unal.edu.co/index.php/recolma/article/view/95000.

Vancouver

1.
Castro T. RA. Nontrivial solutions for a Robin problem with a nonlinear term asymptotically linear at — ∞ and superlinear at + ∞. rev.colomb.mat [Internet]. 1 de julio de 2008 [citado 31 de agosto de 2024];42(2):101-26. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/95000

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