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Energy solutions and concentration problem of fractional Schrödinger equation.

Authors :
Li, Peiluan
Yuan, Yuan
Source :
Boundary Value Problems; 2/13/2018, Vol. 2018 Issue 1, p0-0, 1p
Publication Year :
2018

Abstract

In this paper, we consider a fractional Schrödinger equation with steep potential well and sublinear perturbation. By virtue of variational methods, the existence criteria of infinitely many nontrivial high or small energy solutions are established. In addition, the phenomenon of the concentration of solutions is also explored. We also give some examples to demonstrate the main results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16872762
Volume :
2018
Issue :
1
Database :
Complementary Index
Journal :
Boundary Value Problems
Publication Type :
Academic Journal
Accession number :
128033861
Full Text :
https://doi.org/10.1186/s13661-018-0940-z