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math.AP2013★ 3 cited
Strichartz inequality for orthonormal functions
Rupert L. Frank, Mathieu Lewin, Elliott H. Lieb +1
We prove a Strichartz inequality for a system of orthonormal functions, with an optimal behavior of the constant in the limit of a large number of functions. The estimate generaliz…
math.AP2013
Stability estimates for the lowest eigenvalue of a Schrödinger operator
Eric A. Carlen, Rupert L. Frank, Elliott H. Lieb
There is a family of potentials that minimize the lowest eigenvalue of a Schrödinger eigenvalue under the constraint of a given L^p norm of the potential. We give effective estimat…