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Questions about partial differential equations of elliptic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
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Laplace equation in a domain with a hole
I want to know if there is some reference on the well-posedness of the following problem :
For $\Omega$ a bounded domain (what results depending on the regularity of the domain?) of $\mathbb{R}^2$ ( …