Positive solutions exist for the doubly critical elliptic problem with submanifold singularities under suitable conditions on the geometry of Σ and the potential h near Σ.
Gray, Tubes, second edition, Springer Science and Business Media
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A Doubly Critical Elliptic Problem with Submanifold Singularities
Positive solutions exist for the doubly critical elliptic problem with submanifold singularities under suitable conditions on the geometry of Σ and the potential h near Σ.