Weighted Miranda–Talenti inequality and applications to equations with discontinuous coefficients
نویسنده
چکیده
Let Ω be an open bounded set in R n (n ≥ 2), with C 2 boundary, and N p,λ (Ω) (1 < p < +∞, 0 ≤ λ < n) 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:
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