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

Qihu Zhang; Chunshan Zhao

doi:10.4208/jpde.v26.n3.3

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

Qihu Zhang, Chunshan Zhao

Mathematical Sciences

Zhengzhou University of Light Industry

Research output: Contribution to journal › Article › peer-review

Abstract

<p> 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⊂&reals; N (N≥2) is a smooth bounded domain, 1</p>

Original language	American English
Journal	Journal of Partial Differential Equations
Volume	26
DOIs	https://doi.org/10.4208/jpde.v26.n3.3
State	Published - Jan 1 2013

Disciplines

Education
Mathematics

Keywords

Blow-up rate
Large positive solution
Quasi-linear elliptic problem
Uniqueness

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10.4208/jpde.v26.n3.3License: Unspecified

https://doi.org/10.4208/jpde.v26.n3.3

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

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⊂&reals; N (N≥2) is a smooth bounded domain, 1",

keywords = "Blow-up rate, Large positive solution, Quasi-linear elliptic problem, Uniqueness",

author = "Qihu Zhang and Chunshan Zhao",

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doi = "10.4208/jpde.v26.n3.3",

language = "American English",

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journal = "Journal of Partial Differential Equations",

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T1 - Existence, Uniqueness and Blow-Up Rate of Large Solutions of Quasi-Linear Elliptic Equations with Higher Order and Large Perturbation

AU - Zhang, Qihu

AU - Zhao, Chunshan

PY - 2013/1/1

Y1 - 2013/1/1

N2 - 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⊂&reals; N (N≥2) is a smooth bounded domain, 1

AB - 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⊂&reals; N (N≥2) is a smooth bounded domain, 1

KW - Blow-up rate

KW - Large positive solution

KW - Quasi-linear elliptic problem

KW - Uniqueness

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/244

UR - https://doi.org/10.4208/jpde.v26.n3.3

U2 - 10.4208/jpde.v26.n3.3

DO - 10.4208/jpde.v26.n3.3

M3 - Article

SN - 2079-732X

VL - 26

JO - Journal of Partial Differential Equations

JF - Journal of Partial Differential Equations

ER -

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

Abstract

Disciplines

Keywords

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