a1 Department of Mathematics, University of Craiova, 200585 Craiova, Romania (email: firstname.lastname@example.org)
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.
(Received June 06 2011)
2010 Mathematics subject classification
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This work was partially supported by the strategic grant POSDRU/88/1.5/S/49516, Project ID 49516 (2009), co-financed by the European Social Fund–Investing in People, within the Sectorial Operational Programme Human Resources Development 2007–2013. The author was also partially supported by the grant CNCSIS-UEFISCSU PN-II-ID-PCE-2011-3-0075 Analysis, Control and Numerical Approximations of Partial Differential Equations.