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

delete2026-04-01
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Xue, Ye
DOI:10.2306/scienceasia1513-1874.2026.029delete
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Abstract

Abstract

En 中文
In this paper, a class of fractional Schr & ouml;dinger equations is investigated. We extend the general non-negative continuous potential functions to the sign-changing ones, i.e., a2(x). Under certain conditions, the equation possesses two nontrivial solutions. Furthermore, based on the sign-changing a2(x), some concentration phenomena are obtained.
Keywords:
variational methods
fractional Schr & ouml
dinger equation
multiple solutions
concentration behavior

Journal

S
ScienceAsia
IF:
0.6
Papers:
75
Citations:
969

Organization

C
Changzhou University
Scholars:
1.3W
Papers: 8.1K
Citations: 1.1W
L
linyi university
Scholars:
4.2K
Papers: 3.1K
Citations: 62
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