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Uniqueness of large solutions

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Nov 2012Embargo end date: 01 Jan 2012 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 395, pages 806-812 (issn: 0022-247X, Copyright policy )Funded by:EC | EPSILON, NSF | Borel Summation and Appli..., NSF | New asymptotic methods an...
Authors: Costin, O.; Dupaigne, L.; Goubet, O.;

doi: 10.1016/j.jmaa.2012.05.085 , 10.48550/arxiv.1202.2217

arXiv: 1202.2217

Uniqueness of large solutions

Abstract

Given a nondecreasing nonlinearity $f$, we prove uniqueness of large solutions in the following two cases: the domain is the ball or the domain has nonnegative mean curvature and the nonlinearity is asymptotically convex.

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Keywords

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Applied Mathematics, uniqueness of large solutions, elliptic partial differential equations, Elliptic partial differential equations, large solutions, boundary blow-up, Blow-up in context of PDEs, Mathematics - Analysis of PDEs, Boundary blow-up, FOS: Mathematics, Large solutions, Analysis, Analysis of PDEs (math.AP)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Average
Top 10%
Top 10%
Green
hybrid