Publié-e

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 + ∞

Mots-clés :

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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Auteurs-es

  • 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.

Références

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.

Comment citer

APA

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), 101–126. https://revistas.unal.edu.co/index.php/recolma/article/view/95000

ACM

[1]
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 (juill. 2008), 101–126.

ACS

(1)
Rafael 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

RAFAEL 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: 19 févr. 2025.

Chicago

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

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), p. 101–126. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/95000 (Consulté le: 19 février 2025).

IEEE

[1]
Rafael A., « Nontrivial solutions for a Robin problem with a nonlinear term asymptotically linear at — ∞ and superlinear at + ∞ », rev.colomb.mat, vol. 42, nᵒ 2, p. 101–126, juill. 2008.

MLA

Rafael A. « Nontrivial solutions for a Robin problem with a nonlinear term asymptotically linear at — ∞ and superlinear at + ∞ ». Revista Colombiana de Matemáticas, vol. 42, nᵒ 2, juillet 2008, p. 101-26, https://revistas.unal.edu.co/index.php/recolma/article/view/95000.

Turabian

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 (juillet 1, 2008): 101–126. Consulté le février 19, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/95000.

Vancouver

1.
Rafael A. Nontrivial solutions for a Robin problem with a nonlinear term asymptotically linear at — ∞ and superlinear at + ∞. rev.colomb.mat [Internet]. 1 juill. 2008 [cité 19 févr. 2025];42(2):101-26. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/95000

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