A boundary blow-up for sub-linear elliptic problems with a nonlinear gradient term

Date

2006-05-20

Authors

Zhang, Zhijun

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

By a perturbation method and constructing comparison functions, we show the exact asymptotic behaviour of solutions to the semilinear elliptic problem Δu - |∇u|q = b(x)g(u), u > 0 in Ω, u|∂Ω = +∞, where Ω is a bounded domain in ℝN with smooth boundary, q ∈ (1, 2], g ∈ C[0, ∞) ∩ C1 (0, ∞), g(0) = 0, g is increasing on [0, ∞), and b is non-negative non-trivial in Ω, which may be singular or vanishing on the boundary.

Description

Keywords

Semilinear elliptic equations, Large solutions, Asymptotic behaviour

Citation

Zhang, Z. (2006). A boundary blow-up for sub-linear elliptic problems with a nonlinear gradient term. <i>Electronic Journal of Differential Equations, 2006</i>(64), pp. 1-9.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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