Existence results for nonlinear elliptic problems on fractal domains

Some existence results for a parametric Dirichlet problem defined on the Sierpiński fractal are proved. More precisely, a critical point result for differentiable functionals is exploited in order to prove the existence of a well-determined open interval of positive eigenvalues for which the problem...

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Bibliographic Details
Main Authors: Ferrara Massimiliano, Molica Bisci Giovanni, Repovš Dušan
Format: Article
Language:English
Published: De Gruyter 2016-02-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2015-0105