On the existence of three solutions for the Dirichlet problem on the Sierpinski gasket
Analysis of PDEs
2016-02-22 v1
Abstract
We apply a recently obtained three critical points theorem of B. Ricceri to prove the existence of at least three solutions of certain two-parameters Dirichlet problems defined on the Sierpinski gasket. We also show the existence of at least three nonzero solutions of certain perturbed two-parameters Dirichlet problems on the Sierpinski gasket, using both the mountain pass theorem of Ambrosetti-Rabinowitz and that of Pucci-Serrin.
Keywords
Cite
@article{arxiv.1602.06092,
title = {On the existence of three solutions for the Dirichlet problem on the Sierpinski gasket},
author = {Brigitte E. Breckner and Dušan Repovš and Csaba Varga},
journal= {arXiv preprint arXiv:1602.06092},
year = {2016}
}