Existence results for nonlinear elliptic problems on fractal domains
arXiv:1608.07698 · doi:10.1515/anona-2015-0105
Abstract
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 admits at least one non-trivial weak solution.