Existence and non-existence for strongly coupled quasi-linear cooperative elliptic systems

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概要

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• We study the prototype model of the boundary value problem div(|∇u|m-2∇u) + uavb = 0 in Ω, div(|∇v|m-2&\nabla;v) + ucvd = 0 in Ω, u = v = 0 on ∂Ω, where Ω⊂Rn (n≥2) is a connected smooth domain, and the exponents m>1 and a,b,c,d≥0 are non-negative numbers. Under appropriate conditions on the exponents m, a, b, c and d, and on the domain Ω, a variety of results on a priori estimates, existence and non-existence of positive solutions have been established.

• 社団法人 日本数学会の論文
• 2007-04-01

著者

• Zou Henghui

  Department Of Mathematics University Of Alabama

関連論文

• Existence and non-existence for strongly coupled quasi-linear cooperative elliptic systems

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