Weighted Miranda-Talenti inequality and applications to equations with discontinuous coefficients
Salvatore Leonardi (2002)
Commentationes Mathematicae Universitatis Carolinae
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Let be an open bounded set in , with boundary, and (, ) be a weighted Morrey space. In this note we prove a weighted version of the Miranda-Talenti inequality and we exploit it to show that, under a suitable condition of Cordes type, the Dirichlet problem: has a unique strong solution in the functional space