Varying Stoichiometric Exponents I: Classical Steady-States and Metasolutions
Julián López-Gómez · Advanced Nonlinear Studies · 2003
Abstract This paper characterizes the existence of classical solutions for a class of semilinear elliptic boundary value problems of logistic type whose stoichiometric coefficient is allowed to vary within the region where the reaction takes place. Most of the effort will be focused on the problem of the existence of metasolutions; large solutions extended by infinity that are the main candidates for describing the dynamics of the model in the absence of classical steady-states.