Electronic Journal of Differential Equations, Vol. 2025 (2025), No. 59, pp. 1-20

Title: Minimizers for fractional Schrodinger equations with inhomogeneous perturbation

Authors: Lei Zhang  (Central South Univ., Changsha, China)
         Lintao Liu (North Univ. of China, Taiyuan, China)
         Haibo Chen (Central South Univ., Changsha, China)

Abstract:
In this article, we study a constrained minimization problem arising in fractional Schrodinger equations with inhomogeneous term $m(x)\not\equiv 1$. We obtain the existence and limit behavior of constraint minimizers. The argument relies on
energy estimates, blow-up analysis, comparison principle and iteration methods.
 

Submitted March 28, 2025. Published June 06, 2025.
Math Subject Classifications: 35B44, 35J20, 35J60.
Key Words: Inhomogeneous fractional equation; energy estimate; blow-up analysis;  mass concentration.