Existence and non-existence of solutions for an elliptic system
نویسندگان
چکیده
منابع مشابه
Existence and non-existence of solutions for an elliptic system
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 met...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2014
ISSN: 0893-9659
DOI: 10.1016/j.aml.2014.06.007