In the paper we consider Morrey spaces in unbounded domains and study elliptic equations in nondivergence form with discontinuous coefficients when the class of discontinuities is of Chicco type. In particular we state some local and non local a priori bounds for solutions of Dirichlet problem and study the dependence of the constants in the estimates. The idea is to approximate the principal coefficients by functions with derivatives which belong locally to the space Ls, 2
Bounds in spaces of Morrey under Chicco type conditions
CANALE, Anna
2009
Abstract
In the paper we consider Morrey spaces in unbounded domains and study elliptic equations in nondivergence form with discontinuous coefficients when the class of discontinuities is of Chicco type. In particular we state some local and non local a priori bounds for solutions of Dirichlet problem and study the dependence of the constants in the estimates. The idea is to approximate the principal coefficients by functions with derivatives which belong locally to the space Ls, 2File in questo prodotto:
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