Existence of two infinite families of solutions for singular superlinear equations on exterior domains

Abstract

In this article we study radial solutions of \(\Delta u + K(|x|) f(u) =0\) inthe exterior of the ball of radius \(R>0\) in \(\mathbb {R}^{N}\) with \(N>2\) where \(f\) grows superlinearly at infinity and is singular at \(0\) with \(f(u) \sim \frac{1}{|u|^{q-1}u}\) and \(0

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外部域上奇异超线性方程两个无穷解族的存在性

在本文中，我们研究了在\(N>2\)的\(mathbb {R}^{N}\) 中半径为\(R>0\)的球的外部的(\Delta u + K(|x|) f(u) =0\)径向解，其中\(f\)在无穷大处超线性增长，并且在\(0\)处奇异，对于小\(u)，\(f(u) \sim \frac{1}{u|^{q- }u} 和\(0

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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