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Existence of nonnegative solutions for degenerate ecological models

✍ Scribed by Zhang Shenghai

Book ID
107502100
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
1998
Tongue
English
Weight
273 KB
Volume
13
Category
Article
ISSN
1005-1031

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## Abstract We study the degenerate ecological models where ${p,q>1, {\Delta\_pu}={{\rm div}(\vert Du\vert^{p-2}Du)},{{\Delta\_q}v={{\rm div}(\vert Dv\vert^{q-2}Dv)}}}, a,b,c,d,\alpha, \beta$ are positive numbers. The structure of positive solutions of the models is discussed via bifurcation theo

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The goal of this paper is to study the nonnegative steady-states solutions of the degenerate logistic indeΓΏnite sublinear problem. We combine bifurcation method and linking local subsupersolution technique to show the existence and multiplicity of nonnegative solutions. We employ a change of variabl