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math.AP2022★ 8 cited
Quadrature domains for the Helmholtz equation with applications to non-scattering phenomena
Pu-Zhao Kow, Simon Larson, Mikko Salo +1
In this paper, we introduce quadrature domains for the Helmholtz equation. We show existence results for such domains and implement the so-called partial balayage procedure. We als…
math.AP2022
An inequality for the normal derivative of the Lane-Emden ground state
Rupert L. Frank, Simon Larson
We consider Lane-Emden ground states with polytropic index , that is, minimizers of the Dirichlet integral among -normalized functions. Our main result is a s…