Differential and Integral Equations

Principal eigenvalues of elliptic problems with large potential

Tomas Godoy, ean-Pierre Gossez, and Sofia Paczka

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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 zero order term becomes larger and larger. Use is made of a minimax formula for these principal eigenvalues.

Article information

Differential Integral Equations, Volume 28, Number 9/10 (2015), 1029-1038.

First available in Project Euclid: 23 June 2015

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35J20: Variational methods for second-order elliptic equations 35P15: Estimation of eigenvalues, upper and lower bounds


Godoy, Tomas; Gossez, ean-Pierre; Paczka, Sofia. Principal eigenvalues of elliptic problems with large potential. Differential Integral Equations 28 (2015), no. 9/10, 1029--1038. https://projecteuclid.org/euclid.die/1435064549

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