@Article{JPDE-12-1,
author = {},
title = {On the Existence and Stability of Positive Solutions for Some Pairs of Differential Equations},
journal = {Journal of Partial Differential Equations},
year = {1999},
volume = {12},
number = {1},
pages = {41--54},
abstract = { In this paper, we are concerned with the existence and stability of the positive solutions of a semilinear elliptic system - Δu(x) = a(x)v^6(x) + e(x) - Δv(x) = b(x}u^μ(x) + m(x) \qquad in Ω u = v = 0 \qquad\qquad on ∂Ω where Ω ⊂ R^N is a bounded domain with smooth boundary ∂Ω. It is shown that under the suitable conditions on \delta, μ, there exist a stable and an unstable positive solutions for this system if e and m are sufficiently small in L^∞.},
issn = {2079-732X},
doi = {https://doi.org/1999-JPDE-5523},
url = {https://global-sci.com/article/88722/on-the-existence-and-stability-of-positive-solutions-for-some-pairs-of-differential-equations}
}