Uniqueness of non-negative solutions of a class of semi-linear elliptic equations
作者： Hans G. Kaper , Man Kam Kwong
DOI: 10.1007/978-1-4613-9608-6_1
关键词: Class (set theory) 、 Pure mathematics 、 Type (model theory) 、 Mathematics 、 Uniqueness 、 Differential equation 、 Boundary value problem 、 Mathematical analysis 、 Special case
摘要: This article is concerned with boundary value problems of the type (BVP) u″ + g(r)u′ f(u) = 0, r > 0; u′(0) limr → ∞ u(r) where f(0) 0. Such arise in study semi-linear elliptic differential equations ℝn. It shown that has at most one non-negative non-trivial solution under appropriate conditions on f and g. The are weaker than those given by Peletier Serrin [6], who considered special case g(r) (n - 1)/r, n 2, 3,⋯.
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