Geodesic
Operators in Morrey type spaces and applications
Eurasian mathematical journal, Tome 3 (2012) no. 3, pp. 94-109

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We consider partial differential equations with discontinuous coefficients and prove that, if the known term belongs to the Morrey space $L^{p,\lambda}$, the highest order derivatives of the solutions of the equations belong to the same space. As a consequence it is possible to obtain local Hölder continuity for the solutions. Moreover, are discussed some estimates for the derivatives of local minimizers of variational integrals. 
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     author = {M. A. Ragusa},
     title = {Operators in {Morrey} type spaces and applications},
     journal = {Eurasian mathematical journal},
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     number = {3},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2012_3_3_a5/}
}
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M. A. Ragusa. Operators in Morrey type spaces and applications. Eurasian mathematical journal, Tome 3 (2012) no. 3, pp. 94-109. http://geodesic.mathdoc.fr/item/EMJ_2012_3_3_a5/