AN EXISTENCE THEOREM FOR QUASILINEAR SYSTEMS
نویسندگان
چکیده
منابع مشابه
An Existence Theorem for Quasilinear Systems
This paper deals with the existence of positive radial solutions for the quasilinear system div(|∇ui|p−2∇ui) + λf (u1, . . . , un) = 0, |x| < 1, ui(x) = 0, on |x| = 1, i = 1, . . . , n, p > 1, λ > 0, x ∈ RN . The f i, i = 1, . . . , n, are continuous and non-negative functions. Let u = (u1, . . . , un), ‖u‖ = ∑n i=1 |ui|, f i 0 = lim ‖u‖→0 f i(u) ‖u‖p−1 , i = 1, . . . , n, f = (f1, . . . , fn),...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 2006
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091504001506