Two nontrivial weak solutions for the Dirichlet problem on the Sierpinski Gasket

Authors

  • Denisa Stancu-Dumitru

Keywords:

Sierpinski gasket, weak Laplacian, Dirichlet form, weak solution, Ekeland's Variational Principle

Abstract

We study a Dirichlet problem involving the weak Laplacian on Sierpinski gasket and we prove the existence of at least two distinct nontrivial weak solutions using Ekeland's Variational Principle and standard tools in the critical point theory combined with corresponding variational techniques. DOI: 10.1017/S000497271100298X

Published

2012-04-22

Issue

Vol. 85 No. 3 (2012)

Section

Articles
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