CONVEXITY OF SOLUTIONS TO ELLIPTIC PDE'S

被引：0

作者：

Mebrate, Benyam ^{[1
]}

Porru, Giovanni ^{[2
]}

机构：

[1] Wollo Univ, Dept Math, Dessie, Ethiopia

[2] Univ Cagliari, Dept Math & Informat, Cagliari, Italy

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 2024卷 / 51期

关键词：

Convexity; maximum principle; boundary blow-up; singular problems; POWER CONCAVITY; LEVEL SETS; EQUATIONS;

D O I：

10.58997/ejde.2024.51

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. This article concerns the convexity or concavity of solutions to special second order elliptic partial differential equations in convex domains. We concentrate our investigation to boundary blow up solutions as well as to solutions of particular singular equations. Following a method due to Korevaar and Kennington, we find a new sufficient condition for proving convexity or concavity. This sufficient condition is useful when the semilinear component of the equation is the sum of two or more terms.

引用

页码：1 / 11

页数：11

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