Normalized Solutions to the mixed fractional Schrodinger equations with potential and general nonlinear term

Abstract

The purpose of this paper is to establish the existence of solutions with prescribed norm to a class of nonlinear equations involving the mixed fractional Laplacians. This type of equations arises in various fields ranging from biophysics to population dynamics. Due to the importance of these applications, this topic has very recently received an increasing interest. This work extends the results obtained in [18,24] to the mixed fractional Laplacians. Our method is novel and our results cover all the previous ones.