CPAA
Robin boundary condition on scale irregular fractals
Raffaela Capitanelli
We consider mixed Dirichlet-Robin problems on scale irregular domains. In particular, we study the asymptotic convergence of the solutions of elliptic problems with Robin boundary conditions on the "prefractal" curves approximating the scale irregular fractals.
keywords: irregular interfaces. fractals Mixed Dirichlet-Robin problems
DCDS-B
Uniform weighted estimates on pre-fractal domains
Raffaela Capitanelli Maria Agostina Vivaldi
We establish uniform estimates in weighted Sobolev spaces for the solutions of the Dirichlet problems on snowflake pre-fractal domains.
keywords: boundary value problems for second-order elliptic equations regularity. Fractals

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