We consider boundary value problems for linear elliptic equations in nondivergence form with discontinuous coefficients when the class of discontinuity is of Chicco type. The main result we state is an existence ad uniqueness theorem for solutions of Dirichlet problem in unbounded domains. To this aim we introduce a regularization of the principal coefficients of the differential operator. Basic tools to prove the result are some a priori bounds stated in a previous paper.
Existence and uniqueness results in Morrey type spaces
CANALE, Anna
2007
Abstract
We consider boundary value problems for linear elliptic equations in nondivergence form with discontinuous coefficients when the class of discontinuity is of Chicco type. The main result we state is an existence ad uniqueness theorem for solutions of Dirichlet problem in unbounded domains. To this aim we introduce a regularization of the principal coefficients of the differential operator. Basic tools to prove the result are some a priori bounds stated in a previous paper.File in questo prodotto:
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