On the equation Du+Xu=0 and its relation to Schroedinger ground states
Abstract
We present some simple relations between the absolute minimizers of the functional ||Du+Xu||, where X is a vector field on Rn, and ground state solutions to the (non-relativistic) Schroedinger equation. This article is a byproduct of the study of the more general functional ||ADu+F'(u)X||.
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