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Blow-up rate of the unique solution for a class of one-dimensional equations with a weakly superlinear nonlinearity
Fu, Z. ; Liu, B. ; Mi, L.
2015
关键词one-dimensional problems uniqueness of the solution blow-up rate ELLIPTIC-EQUATIONS BOUNDARY SOLUTION HALF-LINE EXISTENCE
英文摘要Under suitable conditions on the weight functions b, this paper shows the exact asymptotic behavior of the unique solution l(t) at zero to the singular boundary value problem u"(t) = b(t) f(u(t)), u(t) > 0, t> 0, u(0) = infinity, u(infinity) = 0, where b is an element of C-1 (0,infinity) which is positive and non- decreasing on (0,infinity) (may vanish at zero). We assume that f(u) does not grow like u(p) with p > 1 or faster at infinity, but behaves like uln(alpha) u as u -> 8 for some alpha > 1.; Mathematics; SCI(E); 0; ARTICLE; zwfu@mail.bnu.edu.cn; bliu@math.pku.edu.cn; mi-ling@163.com; 2; 309-319; 145
语种英语
出处SCI
出版者acta mathematica hungarica
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/206018]  
专题数学科学学院
推荐引用方式
GB/T 7714
Fu, Z.,Liu, B.,Mi, L.. Blow-up rate of the unique solution for a class of one-dimensional equations with a weakly superlinear nonlinearity. 2015-01-01.
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