Geodesic
-Δ is Positive Definite on a "Spiny Urchin"
Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 229-231

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In a recent note [3] in this department C. Clark has shown that Rellich's theorem on the compactness of the imbedding is valid if G is the "spiny urchin" domain obtained by removing from the plane the union of the sets Sk (k = 1, 2,...) defined in polar coordinates by 
Adams, Robert A. -Δ is Positive Definite on a "Spiny Urchin". Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 229-231. doi: 10.4153/CMB-1969-028-7
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     author = {Adams, Robert A.},
     title = {-\ensuremath{\Delta} is {Positive} {Definite} on a {"Spiny} {Urchin"}},
     journal = {Canadian mathematical bulletin},
     pages = {229--231},
     year = {1969},
     volume = {12},
     number = {2},
     doi = {10.4153/CMB-1969-028-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-028-7/}
}
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