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

Authors

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

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

Recommended Citation

Zhang, Qihu, Chunshan Zhao. 2013. "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, 26 (3): 226-250. doi: 10.4208/jpde.v26.n3.3
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/244