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Weighted Hardy inequality with higher dimensional singularity on the boundary. (English) Zbl 1296.35038

The paper focuses on the weighted Hardy inequality with a weight that is singular on a closed smooth submanifold. The existence of minimizers is studied.

MSC:

35J20 Variational methods for second-order elliptic equations
35J57 Boundary value problems for second-order elliptic systems
35J75 Singular elliptic equations
35B33 Critical exponents in context of PDEs
35A01 Existence problems for PDEs: global existence, local existence, non-existence

References:

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