Let be a bounded convex open set of Rn, n 2, of class C2,1. We consider the following Dirichlet problem 8<: u 2 H2 \ H1 0 ( ,RN) F(x,D2u) = f(x), a.e. in , where f 2 L2,( ,RN), 0 < < n, and F satisfying the Condition Ax. We show that there exists " 2 (0, 1) such that D2u 2 L2,μ( ,RN), where μ 2 (0, ) and μ < nepsilon".

Morrey regularity of solutions of fully non-linear elliptic systems

FATTORUSSO, Luisa Angela Maria;
2010

Abstract

Let be a bounded convex open set of Rn, n 2, of class C2,1. We consider the following Dirichlet problem 8<: u 2 H2 \ H1 0 ( ,RN) F(x,D2u) = f(x), a.e. in , where f 2 L2,( ,RN), 0 < < n, and F satisfying the Condition Ax. We show that there exists " 2 (0, 1) such that D2u 2 L2,μ( ,RN), where μ 2 (0, ) and μ < nepsilon".
fully nonlinear elliptic systems; Morrey spaces
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12318/2807
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