Blow-up rates of large solutions for infinity Laplace equations

Ling Mi

Applied Mathematics and Computation, 2017, vol. 298, issue C, 36-44

Abstract: 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, 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.

Keywords: Infinity Laplacian; Blow-up solutions; Asymptotic behavior; Comparison functions (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:298:y:2017:i:c:p:36-44

DOI: 10.1016/j.amc.2016.11.007

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