Continuity of the derivatives of solutions related to elliptic systems

Maria Alessandra Ragusa · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2006

We consider elliptic systems with discontinuous coefficients and prove that if the known term belongs to the Morrey space L p ,λ , then the highest-order derivatives of the local solution belong to the same space. We also obtain local Hölder continuity for lower-order derivatives.

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