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arXiv · 1608.07698

Existence results for nonlinear elliptic problems on fractal domains

Massimiliano Ferrara·Giovanni Molica Bisci·Dušan Repovš
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Abstract

Some existence results for a parametric Dirichlet problem defined on the Sierpi\'nski 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 admits at least one non-trivial weak solution.

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Massimiliano Ferrara, Giovanni Molica Bisci, Dušan Repovš. 2016-08-27. Existence results for nonlinear elliptic problems on fractal domains. https://doi.org/10.1515/anona-2015-0105

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