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math.CA2020
Two consequences of Davies's Hardy inequality
Rupert L. Frank, Simon Larson
In this short note we would like to show that one can use Davies's Hardy inequality to rederive well-known results of Lieb and Rozenblum.
math.SP2020
Semiclassical asymptotics for a class of singular Schrödinger operators
Rupert L. Frank, Simon Larson
Let be bounded with boundary. In this paper we consider Schrödinger operators on with as $\m…
math.CA2020
A sharp multidimensional Hermite-Hadamard inequality
Simon Larson
Let , , be a bounded convex domain and be a non-negative subharmonic function. In this paper we prove the inequality \[ \…
math.SP2020★ 5 cited
On the error in the two-term Weyl formula for the Dirichlet Laplacian
Rupert L. Frank, Simon Larson
We study the optimality of the remainder term in the two-term Weyl law for the Dirichlet Laplacian within the class of Lipschitz regular subsets of . In particular, f…