lnfinitely many solutions for fractional Schrödinger equations with perturbation via variational methods

Peiluan Li; Youlin Shang

Open Mathematics (2017)

  • Volume: 15, Issue: 1, page 578-586
  • ISSN: 2391-5455

Abstract

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Using variational methods, we investigate the solutions of a class of fractional Schrödinger equations with perturbation. The existence criteria of infinitely many solutions are established by symmetric mountain pass theorem, which extend the results in the related study. An example is also given to illustrate our results.

How to cite

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Peiluan Li, and Youlin Shang. "lnfinitely many solutions for fractional Schrödinger equations with perturbation via variational methods." Open Mathematics 15.1 (2017): 578-586. <http://eudml.org/doc/288138>.

@article{PeiluanLi2017,
abstract = {Using variational methods, we investigate the solutions of a class of fractional Schrödinger equations with perturbation. The existence criteria of infinitely many solutions are established by symmetric mountain pass theorem, which extend the results in the related study. An example is also given to illustrate our results.},
author = {Peiluan Li, Youlin Shang},
journal = {Open Mathematics},
keywords = {Fractional Schrodinger equations; Variational methods; Infinitely many solutions; fractional Schrödinger equations; variational methods; infinitely many solutions},
language = {eng},
number = {1},
pages = {578-586},
title = {lnfinitely many solutions for fractional Schrödinger equations with perturbation via variational methods},
url = {http://eudml.org/doc/288138},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Peiluan Li
AU - Youlin Shang
TI - lnfinitely many solutions for fractional Schrödinger equations with perturbation via variational methods
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 578
EP - 586
AB - Using variational methods, we investigate the solutions of a class of fractional Schrödinger equations with perturbation. The existence criteria of infinitely many solutions are established by symmetric mountain pass theorem, which extend the results in the related study. An example is also given to illustrate our results.
LA - eng
KW - Fractional Schrodinger equations; Variational methods; Infinitely many solutions; fractional Schrödinger equations; variational methods; infinitely many solutions
UR - http://eudml.org/doc/288138
ER -

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