Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837552 | Nonlinear Analysis: Real World Applications | 2013 | 21 Pages |
Abstract
This paper studies the existence and the uniqueness of coexistence states in a spatially heterogeneous reaction diffusion model originated by the theory of nuclear reactors. The mathematical relevance of our analysis relies on the fact that the underlying variational systems are of non-cooperative type and, consequently, the nice comparison techniques available for cooperative systems fail to be true, making the problem of ascertaining whether or not the model admits a unique coexistence state an extremely challenging task. In this paper we are giving a series of new uniqueness results complementing those available in the literature.
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Authors
Inmaculada Antón, Julián López-Gómez,