AN APPLICATION OF A FIXED-POINT THEOREM TO NEUMANN PROBLEMS ON THE SIERPINSKI FRACTAL

被引：0

作者：

Breckner, Brigitte E. ^{[1
]}

Varga, Csaba ^{[1
]}

机构：

[1] Babes Bolyai Univ, Fac Math & Comp Sci, Kogalniceanu Str 1, Cluj Napoca 400084, Romania

来源：

FIXED POINT THEORY | 2018年 / 19卷 / 02期

关键词：

Sierpinski gasket; harmonic extension procedure; Leray-Schauder continuation principle; Neumann problem on the Sierpinski gasket;

D O I：

10.24193/fpt-ro.2018.2.38

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prepare first the background for the study of Neumann problems on the Sierpinski fractal in the N-dimensional Euclidean space. Hereafter we apply the Leray-Schauder continuation principle to prove the existence of at least one solution of certain Neumann problems on this fractal.

引用

页码：475 / 486

页数：12

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