Positive evanescent solutions of singular elliptic problems in exterior domains

被引：3

作者：

Orpel, Aleksandra ^{[1
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, S Banacha 22, PL-90238 Lodz, Poland

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2016年 / 36期

关键词：

singular elliptic problems; positive evanescent solutions; subsolution and supersolution method; exterior domain; BOUNDARY-VALUE-PROBLEMS; QUASI-LINEAR EQUATIONS; DIFFERENTIAL-EQUATIONS; EXISTENCE; NONEXISTENCE;

D O I：

10.14232/ejqtde.2016.1.36

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the existence of positive solutions for the following class of nonlinear elliptic problems div (a(parallel to x parallel to)del u (x)) + f (x, u (x)) - (u (x))(-alpha)parallel to del u (x)parallel to(beta) + g (parallel to x parallel to)x . del u (x) = 0, where X I R-n and parallel to x parallel to > R, with the condition lim(x) = 0. We present the approach based on the subsolution and supersolution method for bounded subdomains and a certain convergence procedure. Our results cover both sublinear and superlinear cases of f. The speed of decaying of solutions will be also characterized more precisely.

引用

页码：1 / 12

页数：12

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