Existence results for nonlinear elliptic problems on fractal domains
Analysis of PDEs
2016-08-30 v1
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.
Keywords
Cite
@article{arxiv.1608.07698,
title = {Existence results for nonlinear elliptic problems on fractal domains},
author = {Massimiliano Ferrara and Giovanni Molica Bisci and Dušan Repovš},
journal= {arXiv preprint arXiv:1608.07698},
year = {2016}
}