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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