On the existence of positive radial solutions for nonlinear elliptic equations in annular domains

Song-Sun Lin

doi:10.1016/0022-0396(89)90121-6

On the existence of positive radial solutions for nonlinear elliptic equations in annular domains

Song-Sun Lin^*

^*此作品的通信作者

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摘要

We study the existence of positive radially symmetric solutions of Δu + g(|x|)f(u) = 0 in annulus with Dirichlet (Dirichlet/Neumann) boundary conditions. We show that the equation has a positive radial solution on any annulus if f and f are positive and f is superlinear at 0 and ∞.

原文	English
頁（從 - 到）	221-233
頁數	13
期刊	Journal of Differential Equations
卷	81
發行號	2
DOIs	https://doi.org/10.1016/0022-0396(89)90121-6
出版狀態	Published - 1 1月 1989

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10.1016/0022-0396(89)90121-6

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On the existence of positive radial solutions for nonlinear elliptic equations in annular domains

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