Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear term, the existence of a sequence of weak solutions for an eigenvalue Dirichlet problem on the Sierpi´nski gasket is proved. Our approach is based on variational methods and on some analytic and geometrical properties of the Sierpi´nski fractal. The abstract results are illustrated by explicit examples.
Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket
BONANNO, Gabriele;
2012-01-01
Abstract
Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear term, the existence of a sequence of weak solutions for an eigenvalue Dirichlet problem on the Sierpi´nski gasket is proved. Our approach is based on variational methods and on some analytic and geometrical properties of the Sierpi´nski fractal. The abstract results are illustrated by explicit examples.File in questo prodotto:
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