On positive solutions of some pairs of differential equations

E. N. Dancer

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Source: Crossref

Published: Jan 1, 1984

DOI: 10.1090/s0002-9947-1984-0743741-4

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Source 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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