24 citations · 108 across the 16 of their papers we have counts for
4 papers · 1 filter
Decay of extremals of Morrey's inequality
Ryan Hynd, Simon Larson, Erik Lindgren
We study the decay (at infinity) of extremals of Morrey's inequality in . These are functions satisfying $$ \displaystyle \sup_{x\neq y}\frac{|u(x)-u(y)|}{|x-y|^{1-\f…
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…
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…
Geometric Hardy inequalities for the sub-elliptic Laplacian on convex domains in the Heisenberg group
Simon Larson
We prove geometric versions of Hardy's inequality for the sub-elliptic Laplacian on convex domains in the Heisenberg group , where convex is meant in the Eu…