We study the convergence of the solutions of the Dirichlet problem associated to a degenerate nonlinear higher-order elliptic equations in divergence form in variables domains, to a limit solution of the same type problem in a fixed domain, following the methods of the asymptotic expansion developed by Skrypnik modified to weighted higher-order case.

Degenerate nonlinear higher-order elliptic problems in domains with fine-grained boundary

D'ASERO, Salvatore;
2006

Abstract

We study the convergence of the solutions of the Dirichlet problem associated to a degenerate nonlinear higher-order elliptic equations in divergence form in variables domains, to a limit solution of the same type problem in a fixed domain, following the methods of the asymptotic expansion developed by Skrypnik modified to weighted higher-order case.
Nonlinear higher-order elliptic equation; Homogenization; Asymptotic expansion; Variables domains; Muckenhoupt class
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/5028
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