General Uniqueness results and Variation Speed for Blow-up Solutions of Elliptic Equations

Florica Corina Cirstea; Yihong Du

doi:10.1112/S0024611505015273

General Uniqueness results and Variation Speed for Blow-up Solutions of Elliptic Equations

Florica Corina Cirstea
, Yihong Du

Mathematics

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

78 Citations (Scopus)

Abstract

Let Ω ⊂ ℝN (N ≥ 2) be a smooth bounded domain. We are interested in the uniqueness and asymptotic behavior of the blow-up solutions to the equation -Δu=au-b(x)f(u)in Ω (1) where f∈C[0, ∞ ) is locally Lipschitz, a ∈ ℝ is a parameter and b ∈C⁰... (0 < μ < 1) is positive in Ω and non-negative on ∂Ω.

Original language	English
Pages (from-to)	459-482
Journal	Proceedings of the London Mathematical Society
Volume	91
Issue number	3
DOIs	https://doi.org/10.1112/S0024611505015273
Publication status	Published - 2005

Keywords

Integrable Systems (Classical and Quantum)

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10.1112/S0024611505015273

https://hdl.handle.net/1959.11/3724

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title = "General Uniqueness results and Variation Speed for Blow-up Solutions of Elliptic Equations",

abstract = "Let Ω ⊂ ℝN (N ≥ 2) be a smooth bounded domain. We are interested in the uniqueness and asymptotic behavior of the blow-up solutions to the equation -Δu=au-b(x)f(u)in Ω (1) where f∈C[0, ∞ ) is locally Lipschitz, a ∈ ℝ is a parameter and b ∈C⁰... (0 < μ < 1) is positive in Ω and non-negative on ∂Ω.",

keywords = "Integrable Systems (Classical and Quantum)",

author = "Cirstea, \{Florica Corina\} and Yihong Du",

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language = "English",

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journal = "Proceedings of the London Mathematical Society",

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AU - Cirstea, Florica Corina

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N2 - Let Ω ⊂ ℝN (N ≥ 2) be a smooth bounded domain. We are interested in the uniqueness and asymptotic behavior of the blow-up solutions to the equation -Δu=au-b(x)f(u)in Ω (1) where f∈C[0, ∞ ) is locally Lipschitz, a ∈ ℝ is a parameter and b ∈C⁰... (0 < μ < 1) is positive in Ω and non-negative on ∂Ω.

AB - Let Ω ⊂ ℝN (N ≥ 2) be a smooth bounded domain. We are interested in the uniqueness and asymptotic behavior of the blow-up solutions to the equation -Δu=au-b(x)f(u)in Ω (1) where f∈C[0, ∞ ) is locally Lipschitz, a ∈ ℝ is a parameter and b ∈C⁰... (0 < μ < 1) is positive in Ω and non-negative on ∂Ω.

KW - Integrable Systems (Classical and Quantum)

U2 - 10.1112/S0024611505015273

DO - 10.1112/S0024611505015273

M3 - Article

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VL - 91

SP - 459

EP - 482

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

IS - 3

ER -

General Uniqueness results and Variation Speed for Blow-up Solutions of Elliptic Equations

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