Least energy solutions to a class of nonlocal Schrödinger equations

Abstract

We explore a class of nonlocal Schrödinger equations that include not only fractional Schrödinger equations but also other nonlocal Schrödinger equations studied in the literature. We prove the existence of least energy solutions to this class of equations by the variational method, which extends the results obtained by Gu et al. (2018) and Xiang et al. (2019).

Keywords

• least energy solution
• nonlocal schrödinger equation
• critical point
• nehari manifold