Geodesic
About semiboundness of $\delta$-perturbations of the Laplacian supported by curves with angle points
Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 1, pp. 3-17 
Yu. G. Shondin. About semiboundness of $\delta$-perturbations of the Laplacian supported by curves with angle points. Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 1, pp. 3-17. http://geodesic.mathdoc.fr/item/TMF_1995_105_1_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Еlementary self-adjoint perturbations of the Laplacian supported by curves with singular angle points are studied in $\mathbb R^3$ and $\mathbb R^4$. The perturbations are shown to be semibounded in $\mathbb R^3$ and unsemibounded in $\mathbb R^4$. In the last case semiboundness may take place in subspaces of a given symmetry as it is shown in simple example.

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