On the principal eigenvalues of some elliptic problems with large drift

Tomas Godoy; Jean-Pierre Gossez; Sofia Paczka

doi:10.3934/dcds.2013.33.225

Article Contents

2013, Volume 33, Issue 1: 225-237. Doi: 10.3934/dcds.2013.33.225

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On the principal eigenvalues of some elliptic problems with large drift

1.
FaMAF, Universidad Nacional de Cordoba, Ciudad Universitaria, 5000 Cordoba
2.
Departement de Mathematique, C.P. 214, Universite Libre de Bruxelles, 1050 Bruxelles

Received: June 30, 2011

Revised: September 30, 2011

Published: December 2012

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Abstract

This paper is concerned with non-selfadjoint elliptic problems having a principal part in divergence form and involving an indefinite weight. We study the asymptotic behavior of the principal eigenvalues when the first order term (drift term) becomes larger and larger. Several of our results also apply to elliptic operators in general form.

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Mathematics Subject Classification: 35J25, 35Q92.

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References

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