Elliptic Boundary Value Problems with Indefinite Weights, Variational Formulations of the Principal Eigenvalue, and Applications: 1st Edition (Hardback) book cover

Elliptic Boundary Value Problems with Indefinite Weights, Variational Formulations of the Principal Eigenvalue, and Applications

1st Edition

By Fethi Belgacem

Chapman and Hall/CRC

256 pages

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Hardback: 9780582315976
pub: 1997-05-05
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Description

Elliptic Boundary Value Problems With Indefinite Weights presents a unified approach to the methodologies dealing with eigenvalue problems involving indefinite weights. The principal eigenvalue for such problems is characterized for various boundary conditions. Such characterizations are used, in particular, to formulate criteria for the persistence and extinctions of populations, and applications of the formulations obtained can be quite extensive.

Table of Contents

Modelling Diffusion and Boundary Conditions

Existence, Coercivity and Monotonicity Results

The Case of Potential-Based Drift

Degenerate Elliptic Equations

Minimax Formulations of the Principal Eigenvalue for Indefinite Weights

Appendix

Preliminaries

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations