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On some $L^{p}$-estimates for solutions of elliptic equations in unbounded domains

On some $L^{p}$-estimates for solutions of elliptic equations in unbounded domains

In this review article we present an overview on some a priori estimates in $L^p$, $p>1$, recently obtained in the framework of the study of a certain kind of Dirichlet problem in unbounded domains. More precisely, we consider a linear uniformly elliptic second order differential operator in divergence form with …