On an elliptic system related to desertification studies



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Díaz Díaz, Jesús Ildefonso and Kyriazopoulos, Paris (2014) On an elliptic system related to desertification studies. RACSAM. Serie A. Matemáticas, 108 . pp. 397-404. ISSN 1578-7303

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Official URL: http://link.springer.com/article/10.1007%2Fs13398-012-0108-0#page-1


In this communication, we consider the stationary problem of a non-linear parabolic system which arises in the context of dry-land vegetation. In the first part, we examine the existence and multiplicity of biomass stationary solutions, in terms of the precipitation rate parameter p, for a localized simplification of the system, with non-homogeneous rate of biomass loss. In fact, we show that under appropriate conditions on fixed parameters of the problem, multiple positive solutions exist for a range of the parameter p. In the second part, we consider the case of an idealized “oasis”, ω ⊂⊂ Ω, where we study the transition of the surface-water height in a neighborhood of the set ω

Item Type:Article
Uncontrolled Keywords:Multiplicity of positive solutions; Dry-land vegetation
Subjects:Sciences > Mathematics > Differential equations
ID Code:28852
Deposited On:02 Mar 2015 15:44
Last Modified:12 Dec 2018 15:06

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