Article ID Journal Published Year Pages File Type
4613276 Journal of Differential Equations 2007 17 Pages PDF
Abstract

Suppose that β⩾0β⩾0 is a constant and that f:RN×R+×RN→R is a continuous function with R+:=(0,∞)R+:=(0,∞). This paper investigates N-dimensional singular, quasilinear elliptic equations of the formΔu+f(x,u,∇u)u−β=0,x∈RN(N⩾3) and gives some sufficient conditions for the equations to have (i) a decaying positive entire solution or (ii) infinitely many positive entire solutions each of which is bounded with a positive lower-bound.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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