On positive solutions of some pairs of differential equations

Dancer, E. N.

doi:10.1090/S0002-9947-1984-0743741-4

On positive solutions of some pairs of differential equations
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Trans. Amer. Math. Soc. 284 (1984), 729-743 Request permission

Abstract:

In this paper, we discuss the existence of solutions, with both components positive, of a Dirichlet problem for a coupled pair of partial differential equations. The main result is proved by using degree theory in cones. We also discuss the asymptotic behaviour of solutions as a parameter tends to zero.

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