Some existence results for a parametric Dirichlet problem defined on the Sierpinski 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.
Existence results for nonlinear elliptic problems on fractal domains
Molica Bisci G;
2016-01-01
Abstract
Some existence results for a parametric Dirichlet problem defined on the Sierpinski 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.File in questo prodotto:
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