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math.AP2023
An observation on eigenfunctions of the Laplacian
Agnid Banerjee, Nicola Garofalo
In his seminal 1943 paper F. Rellich proved that, in the complement of a cavity , there exist no nontrivial solution of the Helmholtz equat…
math.AP2023
A Rellich type estimate for a subelliptic Helmholtz equation with mixed homogeneities
Agnid Banerjee, Nicola Garofalo
We establish an optimal asymptotic on rings for a subelliptic Helmholtz equation with mixed homogeneities.