Existence and non-existence of solutions for an elliptic system
نویسنده
چکیده
We study the existence of positive solutions for a system of two elliptic equations of the form −∆u = a1(x)F1 (x, u, v) in Ω −∆v = a2(x)F2 (x, u, v) in Ω u = v = 0 on ∂Ω where Ω ⊂ RN (N ≥ 2) is a bounded domain in RN with a smooth boundary ∂Ω or Ω = RN (N ≥ 3). A non-existence result is obtained for radially symmetric solutions. Our proofs are based primarily on the sub and super-solution method. © 2014 Elsevier Ltd. All rights reserved.
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ورودعنوان ژورنال:
- Appl. Math. Lett.
دوره 37 شماره
صفحات -
تاریخ انتشار 2014