Differential and Integral Equations

A counterexample on competing species equations

E. N. Dancer

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Abstract

We construct an example showing that there need not be a strictly positive solution of a competing species system with diffusion and Dirichlet boundary conditions in a case unresolved by earlier work.

Article information

Source
Differential Integral Equations, Volume 9, Number 2 (1996), 239-246.

Dates
First available in Project Euclid: 3 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367603343

Mathematical Reviews number (MathSciNet)
MR1364045

Zentralblatt MATH identifier
0842.35033

Subjects
Primary: 35Q80: PDEs in connection with classical thermodynamics and heat transfer
Secondary: 35B32: Bifurcation [See also 37Gxx, 37K50] 35J65: Nonlinear boundary value problems for linear elliptic equations 47H12 92D25: Population dynamics (general)

Citation

Dancer, E. N. A counterexample on competing species equations. Differential Integral Equations 9 (1996), no. 2, 239--246. https://projecteuclid.org/euclid.die/1367603343


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