ON THE PRINCIPAL EIGENVALUES OF SOME ELLIPTIC PROBLEMS WITH LARGE DRIFT

被引:2
|
作者
Godoy, Tomas [1 ]
Gossez, Jean-Pierre [2 ]
Paczka, Sofia [1 ]
机构
[1] Univ Nacl Cordoba, FaMAF, RA-5000 Cordoba, Argentina
[2] Univ Libre Brussels, Dept Math, B-1050 Brussels, Belgium
关键词
Nonselfadjoint elliptic problems; principal eigenvalue; indefinite weight; minimax formula; asymptotic behavior; large drift; 1ST REAL EIGENVALUE; ASYMPTOTIC-BEHAVIOR; HIGHEST DERIVATIVES; SMALL-PARAMETER; OPERATORS;
D O I
10.3934/dcds.2013.33.225
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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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页码:225 / 237
页数:13
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