Blow-up rates of large solutions for infinity Laplace equations

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• 作者：Ling Mi ^{mi-ling@163.com dreamcatcher2014@126.com}
• 关键词：Infinity Laplacian ; Blow-up solutions ; Asymptotic behavior ; Comparison functions
• 刊名：Applied Mathematics and Computation
• 出版年：2017
• 出版时间：1 April 2017
• 年：2017
• 卷：298
• 期：Complete
• 页码：36-44
• 全文大小：367 K
• 卷排序：298

文摘

In this paper, by constructing suitable comparison functions, we mainly give the boundary behavior of solutions to boundary blow-up elliptic problems ▵∞u=b(x)f(u),x∈Ω,u|∂Ω=+∞, where Ω   is a bounded domain with smooth boundary in RN,RN, the operator △_{∞ is the ∞-Laplacian, b∈Cα(Ω¯) which is positive in Ω and may be vanishing on the boundary and rapidly varying near the boundary and the nonlinear term f is a Γ-varying function at infinity, whose variation at infinity is not regular.}