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• W2013404068 abstract "We study the following relaxed Dirichlet problem $$left{ begin{gathered} Lu + mu u = vinOmega , hfill u = 0onpartial Omega , hfill end{gathered} right.$$ where Ω is a bounded open subset ofR N,Lu=−div(A∇u) is an elliptic operator, μ is a positive Borel measure on Ω not charging polar sets, and v is a measure with bounded variation on Ω. We give a definition of solution for such a problem, and then prove existence and regularity results. As a consequence, the Green function for relaxed Dirichlet problems can be defined, and some of its properties are proved, including the standard representation formula for solutions." @default.
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• W2013404068 date "1996-12-01" @default.
• W2013404068 modified "2023-10-06" @default.
• W2013404068 title "Existence and regularity results for relaxed Dirichlet problems with measure data" @default.
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• W2013404068 doi "https://doi.org/10.1007/bf01758983" @default.
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