On Positive Solutions of Some Pairs of Differential Equations
Open Access
- 1 August 1984
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 284 (2) , 729-743
- https://doi.org/10.2307/1999104
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.Keywords
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