Differential and Integral Equations

A counterexample on competing species equations

E. N. Dancer

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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

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

First available in Project Euclid: 3 May 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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)


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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