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| In this talk, we will report some recent results contained in the paper [G. Molica Bisci, V. Radulescu, A characterization for elliptic problems on fractal sets, Proc. Amer. Math. Soc., in press]. We are concerned with a characterization theorem on the existence of a non-zero strong solution for elliptic equations on the Sierpinski gasket. More generally, the validity of our result can be checked studying elliptic equations defined on self-similar fractal domains whose spectral dimension is less than 2. |
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