INFINITELY MANY SOLUTIONS FOR THE DIRICHLET PROBLEM ON THE SIERPINSKI GASKET-Reference-Cited by-同舟云学术

INFINITELY MANY SOLUTIONS FOR THE DIRICHLET PROBLEM ON THE SIERPINSKI GASKET

Published:2011-07 Issue:03 Volume:09 Page:235-248
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

BRECKNER BRIGITTE E.¹,RĂDULESCU VICENŢIU D.²³,VARGA CSABA¹

Affiliation:

1. Babeş-Bolyai University, Faculty of Mathematics and Computer Science, Kogalniceanu str. 1, 400084 Cluj-Napoca, Romania

2. Institute of Mathematics "Simion Stoilow" of the Romanian Academy, 010702 Bucharest, Romania

3. Department of Mathematics, University of Craiova, 200585 Craiova, Romania

Abstract

We study the nonlinear elliptic equation Δu(x) + a(x)u(x) = g(x)f(u(x)) on the Sierpinski gasket and with zero Dirichlet boundary condition. By extending a method introduced by Faraci and Kristály in the framework of Sobolev spaces to the case of function spaces on fractal domains, we establish the existence of infinitely many weak solutions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530511001844

Reference17 articles.

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2. Partial differential equations on products of Sierpinski gaskets

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4. Fractal Geometry

5. Non-linear Elliptical Equations on the Sierpiński Gasket

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