A Priori Bounds in Lp and in W2,p for Solutions of Elliptic Equations

[摘要] 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 inan Lp-a priori bound, P>1. Some applications of this bound in the framework of non-variational problems, in a weighted and a non-weighted case, are also given.

[发布日期] 2013-06-13