Díaz Díaz, Jesús Ildefonso and 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
![[img]](/style/images/fileicons/application_pdf.png) | PDF Restricted to Repository staff only until 31 December 2020. 417Kb |
Official URL: http://www.sciencedirect.com/science/article/pii/S0764444200800063
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | existence; multiplicity; quasilinear |
| Subjects: | Sciences > Mathematics > Differential equations |
| ID Code: | 15627 |
| References: | 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 Díaz J.L., Kichenassamy S., (1990) (unpublished manuscript).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. |
| Deposited On: | 14 Jun 2012 11:29 |
| Last Modified: | 08 May 2013 18:40 |
Repository Staff Only: item control page
