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 Sierpinski gasket is proved. Our approach is based on variational methods and on some analytic and geometrical properties of the Sierpinski fractal. The abstract results are illustrated by explicit examples.
Variational Analysis for a nonlinear elliptic problem on the Sierpinski gasket
Molica Bisci G;
2012
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 Sierpinski gasket is proved. Our approach is based on variational methods and on some analytic and geometrical properties of the Sierpinski fractal. The abstract results are illustrated by explicit examples.File in questo prodotto:
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