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

Article

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

Journal of Partial Differential Equations

Qihu Zhang, Zhengzhou University of Light Industry
Chunshan Zhao, Georgia Southern University

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Document Type

Article

Publication Date

1-1-2013

DOI

10.4208/jpde.v26.n3.3

Disciplines

Education and
Mathematics

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

Citation Information

Qihu Zhang and Chunshan Zhao. "Existence, Uniqueness and Blow-Up Rate of Large Solutions of Quasi-Linear Elliptic Equations with Higher Order and Large Perturbation" Journal of Partial Differential Equations Vol. 26 Iss. 3 (2013) p. 226 - 250 ISSN: 2079-732X
Available at: http://works.bepress.com/chunshan_zhao/13/