Article ID Journal Published Year Pages File Type
839598 Nonlinear Analysis: Theory, Methods & Applications 2015 15 Pages PDF
Abstract

Sharp estimates for the behaviour of solutions of the Poisson problem under homogeneous Dirichlet boundary conditions are derived for domains that contain a cone-like boundary part. As an application we are able to state an anti-maximum type result on such domains.

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Physical Sciences and Engineering Engineering Engineering (General)
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Pointwise behaviour of the solution of the Poisson problem near conical points
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