Cirstea, Florica Corina; Du, Yihong

Author(s)

Cirstea, Florica Corina

Du, Yihong

Publication Date

2007

Abstract

We consider the semilinear elliptic equation Δu=h(u) in Ω {0}, where Ω is an open subset of ℝ^N (N≥2) containing the origin and h is locally Lipschitz continuous on [0,∞), positive in (0,∞). We give a complete classification of isolated singularities of positive solutions when h varies regularly at infinity of index q ∈ (1,CN)(that is, limu→∞h(λu)/h(u)=λ^q, for every λ>0), where CN denotes either N/(N-2) if N≥3 or ∞ if N=2. Our result extends a well-known theorem of Véron for the case h(u)=u^q.

Citation

Journal of Functional Analysis, 250(2), p. 317-346

ISSN

1096-0783

0022-1236

Link

https://hdl.handle.net/1959.11/3951

Publisher

Elsevier Inc

Title

Asymptotic Behavior of Solutions of Semilinear Elliptic Equations Near an Isolated Singularity

Type of document

Journal Article

Entity Type

Publication

Author(s)	Cirstea, Florica Corina Du, Yihong
Publication Date	2007
Abstract	We consider the semilinear elliptic equation Δu=h(u) in Ω {0}, where Ω is an open subset of ℝ^N (N≥2) containing the origin and h is locally Lipschitz continuous on [0,∞), positive in (0,∞). We give a complete classification of isolated singularities of positive solutions when h varies regularly at infinity of index q ∈ (1,CN)(that is, limu→∞h(λu)/h(u)=λ^q, for every λ>0), where CN denotes either N/(N-2) if N≥3 or ∞ if N=2. Our result extends a well-known theorem of Véron for the case h(u)=u^q.
Citation	Journal of Functional Analysis, 250(2), p. 317-346
ISSN	1096-0783 0022-1236
Link	https://hdl.handle.net/1959.11/3951
Publisher	Elsevier Inc
Title	Asymptotic Behavior of Solutions of Semilinear Elliptic Equations Near an Isolated Singularity
Type of document	Journal Article
Entity Type	Publication

Asymptotic Behavior of Solutions of Semilinear Elliptic Equations Near an Isolated Singularity

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