Existence results for nonlinear elliptic problems on fractal domains
Массимилиано Феррара, Molica Bisci, Giovanni, Dusan D. Repovs · Repository of the University of Ljubljana (University of Ljubljana) · 2019
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.