A NOTE ON THE EXISTENCE OF A GROUND STATE SOLUTION TO A FRACTIONAL SCHRÖDINGER EQUATION
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In this paper we show the existence of a non-trivial solution to a fractional Schrödinger equation, which turns out to be a global minimizer of a variational problem. We give a sharp condition for the existence of global minimizers. To do this we develop a new compactification scheme of angularly regular solutions.
- Kyushu Journal of Mathematics
Kyushu Journal of Mathematics 67(1), 227-236, 2013
Faculty of Mathematics, Kyushu University