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

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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. 
@article{TMF_1995_105_1_a0,
     author = {Yu. G. Shondin},
     title = {About semiboundness of $\delta$-perturbations of the {Laplacian} supported by curves with angle points},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--17},
     publisher = {mathdoc},
     volume = {105},
     number = {1},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_105_1_a0/}
}
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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/