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

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

D'ASERO, Salvatore
;
2006-01-01

Abstract

We study the convergence of the solutions of the Dirichlet problem associated to a degeneratenonlinear higher-order elliptic equations in divergence form in variables domains, to a limit solutionof the same type problem in a fixed domain, following the methods of the asymptotic expansiondeveloped by Skrypnik modified to weighted higher-order case.
2006
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: https://hdl.handle.net/20.500.11769/5028
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