Summary
In this paper we study the well-posedness of the Dirichlet problem for an elliptic non divergence form second order equation. The coefficients are not assumed to be continuous but their derivatives are supposed to belong to a suitable Morrey space hence generalizing a classical result by C. Miranda.
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This work was partly financially supported by a national project of the Italian Ministero della Pubblica Istruzione and by G.N.A.F.A.-C.N.R.
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Chiarenza, F., Franciosi, M. A generalization of a theorem by C. Miranda. Annali di Matematica 161, 285–297 (1992). https://doi.org/10.1007/BF01759642
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DOI: https://doi.org/10.1007/BF01759642