Differential and Integral Equations

Principal eigenvalues of elliptic problems with large potential

Tomas Godoy, ean-Pierre Gossez, and Sofia Paczka

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

Article information

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

Dates
First available in Project Euclid: 23 June 2015

Permanent link to this document
https://projecteuclid.org/euclid.die/1435064549

Mathematical Reviews number (MathSciNet)
MR3360729

Zentralblatt MATH identifier
1363.35095

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

Citation

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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