A class of semilinear elliptic equations on the Sierpinski gasket

被引：0

作者：

Kar, Rasmita ^{[1
]}

Badajena, A. K. ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Rourkela, India

来源：

APPLICABLE ANALYSIS | 2021年 / 100卷 / 15期

关键词：

Sierpinski gasket; semilinear elliptic equations; fractal domains; monotone operators; MULTIPLE SOLUTIONS; BROWNIAN-MOTION;

D O I：

10.1080/00036811.2020.1713313

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of a weak (strong) solution for the semilinear elliptic problem -Delta u(x) - lambda g(x)u(x) = -f(x, u(x)) in V\V-0 u = 0 on V-0, where V is the Sierpinski gasket in RN-1(N >= 2), V-0 is its boundary (consisting of its N corners) and. is a real parameter. Here g : V -> R and f : V x R -> R are functions satisfying suitable hypotheses.

引用

页码：3212 / 3219

页数：8

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