A Priori Bounds in and in for Solutions of Elliptic Equations

Sara Monsurrò and Maria Transirico

Abstract and Applied Analysis, 2013, vol. 2013, 1-7

Abstract:

We give an overview on some recent results concerning the study of the Dirichlet problem for second-order linear elliptic partial differential equations in divergence form and with discontinuous coefficients, in unbounded domains. The main theorem consists in an -a priori bound, . Some applications of this bound in the framework of non-variational problems, in a weighted and a non-weighted case, are also given.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:650870

DOI: 10.1155/2013/650870

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