Title

Existence, Uniqueness and Blow-Up Rate of Large Solutions of Quasi-Linear Elliptic Equations with Higher Order and Large Perturbation

Document Type

Article

Publication Date

2013

Publication Title

Journal of Partial Differential Equations

DOI

10.4208/jpde.v26.n3.3

ISSN

2079-732X

Abstract

We establish the existence, uniqueness and the blow-up rate of the large positive solutions of the quasi-linear elliptic problem -Δ p u=λ(x)u θ-1 -b(x)h(u), in Ω, with boundary condition u=+∞ on ∂Ω, where Ω⊂ℝ N (N≥2) is a smooth bounded domain, 1

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