A minimax formula for principal eigenvalues and application to an antimaximum principle

A minimax formula for the principal eigen value of a nonself adjoint elliptic problem was established in [17]. In this paper we extend this formula to the case where an indenite weight is present. An application is given to the study of the uniformity of the antimaximum principle. [PUBLICATION ABSTR...

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Bibliographic Details
Published in:Calculus of variations and partial differential equations 2004-09, Vol.21 (1), p.85
Main Authors: Godoy, T., Gossez, J.-P., Paczka, S.
Format: Article
Language:English
Subjects:
Calculus
Partial differential equations
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Summary:A minimax formula for the principal eigen value of a nonself adjoint elliptic problem was established in [17]. In this paper we extend this formula to the case where an indenite weight is present. An application is given to the study of the uniformity of the antimaximum principle. [PUBLICATION ABSTRACT]
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-003-0249-2