Monotone operators and a class of nonlinear elliptic equations on the Sierpinski gasket

被引：0

作者：

Verma, Amar Pal ^{[1
]}

Kar, Rasmita ^{[1
]}

机构：

[1] Natl Inst Technol Rourkela, Dept Math, Rourkela 769008, Odisha, India

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2024年 / 31卷 / 01期

关键词：

Sierpinski gasket; nonlinear elliptic partial differential equations; fractal domains; monotone operators; MULTIPLE SOLUTIONS; BROWNIAN-MOTION;

D O I：

10.1515/gmj-2023-2056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of solutions for the nonlinear elliptic problem -Delta v - lambda g(1)v + h(1)(v) = f(1) in V \ V-0, v = 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 lambda is an element of R. Here f(1), g(1) : V -> R, h(1) : R -> R are the maps satisfying suitable hypotheses.

引用

页码：165 / 172

页数：8

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