Article contents
TWO NONTRIVIAL WEAK SOLUTIONS FOR THE DIRICHLET PROBLEM ON THE SIERPIŃSKI GASKET
Published online by Cambridge University Press: 12 December 2011
Abstract
We study a Dirichlet problem involving the weak Laplacian on the Sierpiński gasket, and we prove the existence of at least two distinct nontrivial weak solutions using Ekeland’s Variational Principle and standard tools in critical point theory combined with corresponding variational techniques.
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2011
References
- 5
- Cited by