Biblioteca de la Universidad Complutense de Madrid

Global bifurcation and continua of nonnegative solutions for a quasilinear elliptic problem

Impacto

Díaz Díaz, Jesús Ildefonso y Hernández, Jesús (1999) Global bifurcation and continua of nonnegative solutions for a quasilinear elliptic problem. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 329 (7). pp. 587-592. ISSN 0764-4442

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URL Oficial: http://www.sciencedirect.com/science/article/pii/S0764444200800063




Resumen

In this Note, we study the existence and multiplicity of solutions, strictly positive or nonnegative having a dead core (where the solution vanishes) of a one-dimensional equation of eigenvalue type associated to a quasilinear operator with strong absorption with respect to the diffusion.


Tipo de documento:Artículo
Palabras clave:existence; multiplicity; quasilinear
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:15627
Referencias:

Aronson, D.G., Crandall, M.G., Peletier L.A., Stabilization of solutions of a degenerate non linear diffusion problem, Nonlin. Anal. 6 (1982) 1001-1022.

Bidaut-Yéron M.-E, Galaktionov Y., Grillot P., Yéron L., Singularities for a 2-dimensional semilinear elliptic equation with a non-Lipschitz nonlinearity.Publication nº141/97, Laboratoire de mathématiques et physique théorique, Université de Tours, 1997.

Cortazar, C., Elgueta, M., Felmer, P., On a semilinear elliptic problem in R with a non-Lipschitz nonlinearity, Adv. Differ. Eq. 1 (1996) 199-218.

Díaz J.L., Nonlinear Partial Differential Equations and Free Boundaries, Pitman, London, 1985.

Díaz J.L., Hernández J., (in preparation).

Díaz J.L., Kichenassamy S., (1990) (unpublished manuscript).

Guedda M., Véron L., Bífurcation phenomena associated to p-Laplace operator, Trans. Amer. Math. Soc. 310 (1988)419-431.

Smoller J., Wasserman, J. Global bifurcation of steady-state solutions, J. Differ. Eq. 39 (1981) 269-290.

Depositado:14 Jun 2012 09:29
Última Modificación:06 Feb 2014 10:28

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