Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains

被引：1

作者：

Wisniewski, Damian ^{[1
]}

机构：

[1] Univ Warmia & Mazury, Fac Math & Comp Sci, Sloneczna 54, PL-10710 Olsztyn, Poland

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2017年 / 25卷 / 02期

关键词：

Elliptic divergence quasi-linear equations; Weak solutions; Unbounded domains; Comparison principle; Barrier function;

D O I：

10.1515/auom-2017-0030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the behaviour of weak solutions of boundary value problems for quasi-linear elliptic divergence second order equations in unbounded domains. We show the boundedness of weak solutions to our problem. Using barrier function and applying the comparison principle, we find the exact exponent of weak solutions decreasing rate near the infinity.

引用

页码：201 / 224

页数：24

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