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Journal of Mathematical Analysis and Applications
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Linear elliptic eigenvalue problems involving an indefinite weight

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1987 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 126, pages 516-528 (issn: 0022-247X, Copyright policy )
Authors: G. F. Roach; M Faierman;

doi: 10.1016/0022-247x(87)90059-x

Linear elliptic eigenvalue problems involving an indefinite weight

Abstract

Die Verff. untersuchen lineare Eigenwertprobleme vom Typ \[ (Lu)(x)=\lambda m(x)u(x),\quad x\in \Omega, \] wobei L ein linearer, stark elliptischer Differentialoperator ist, \(\Omega\) ein Gebiet mit beschränktem Rand, sowie m(x) eine Funktion, die sowohl positive als auch negative Werte annimmt.

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Keywords

Boundary value problems for second-order elliptic equations, eigenvalue problems, weight function, Applied Mathematics, General topics in linear spectral theory for PDEs, smooth closed boundary, indefinite measure, Analysis

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citations
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!
3
Average
Top 10%
Average
hybrid
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