A NOTE ON THE EXISTENCE OF A GROUND STATE SOLUTION TO A FRACTIONAL SCHRODINGER EQUATION

作者：Cho Yonggeun^*; Ozawa Tohru

来源：Kyushu Journal of Mathematics, 2013, 67(1): 227-236.

DOI：10.2206/kyushujm.67.227

• angular regularity
• fractional Schrodinger equation
• global minimizer
• ground state solution

In this paper we show the existence of a non-trivial solution to a fractional Schrodinger 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.

• 出版日期2013-3