A Remark on the Linearized Stability of Positive Solutions for Systems Involving the p-Laplacian |
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Authors: | Ghasem A. Afrouzi Seyed H. Rasouli |
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Affiliation: | (1) Department of Mathematics, Faculty of Basic Sciences, Mazandaran University, Babolsar, Iran |
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Abstract: | The aim of this paper is to prove some stability result for nonlinear elliptic systems of the form where Δp denotes the p-Laplacian operator defined by Δpz = div(|∇ z|p-2∇ z); p > 2, Ω is a bounded domain in RN (N > 1) with smooth boundary where with h = 1 when α = 1, λ is a positive parameter and f,g are C2 functin on [0,∞) × [0,∞). We prove stability and instability results of positive stationary solutions under various choices of f and g. |
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Keywords: | 35P20 35J70 35BJ20 |
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