Multiplicity and concentration of solutions for the fractional Schrödinger equation involving sign-changing potential

Ye Xue^a, Fang Zhang^a,*, Yunlan Wei^b

ABSTRACT: In this paper, a class of fractional Schr?dinger equations is investigated. We extend the general non negative continuous potential functions to the sign-changing ones, i.e., a?(x). Under certain conditions, the equation possesses two nontrivial solutions. Furthermore, based on the sign-changing a?(x), some concentration phenomena are obtained.

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^a	Department of Mathematics, Changzhou University, Changzhou 213164 China
^b	School of Mathematics and Statistics, Linyi University, Linyi 276000 China

* Corresponding author, E-mail: zhangfangcczu@163.com

Received 4 Jun 2024, Accepted 13 Mar 2026

Multiplicity and concentration of solutions for the fractional Schrödinger equation involving sign-changing potential

Ye Xuea, Fang Zhanga,*, Yunlan Weib

Ye Xue^a, Fang Zhang^a,*, Yunlan Wei^b