IJPAM: Volume 43, No. 3 (2008)

A SEMILINEAR ELLIPTIC DIRICHLET BOUNDARY
VALUE PROBLEM WITH EXPONENTIAL NONLINEARITY

Domenico Delbosco$^1$, Gabriella Viola$^2$
$^{1,2}$Department of Mathematics
University of Turin
Via C. Alberto 10, Turin, 10123, ITALY
$^1$e-mail: domenico.delbosco@unito.it
$^2$e-mail: gabriella.viola@unito.it


Abstract.In this paper we investigate the structure of solutions set of a class of semilinear elliptic equation of exponential type, including Gel'fand equation, which arises from the study of thermal self-ignition of a chemically active mixture of gases in a vessel.

Received: October 18, 2007

AMS Subject Classification: 35J65, 35B05

Key Words and Phrases: positive solutions, semilinear elliptic Dirichlet boundary value problem, exponential nonlinearity

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 43
Issue: 3