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In this work we prove some Hardy-Poincar´e inequalities with quadratic singular potentials localized on the boundary of a smooth domain. Then, we consider conical domains with vertex on the sing...
A note on Hardy's inequalities with boundary singularities
Hardy inequality extremals p-Laplacian
2010/12/8
Let be a smooth bounded domain in RN with N 1. In this paper we study the Hardy-Poincar´e inequalities with weight function singular at the boundary of .In particular we give sufficient condit...
Domains of holomorphy with edges and lower dimensional boundary singularities
Domains of holomorphy with edges and lower dimensional boundary singularities
2010/11/1
Necessary and sufficient geometric conditions are given for domains with regular boundary points and edges to be domains of holomorphy provided the remainder boundary subset is of zero Hausdorff 1-cod...