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International Journal of Nonlinear Sciences and Numerical Simulation

Editor-in-Chief: Birnir, Björn

Editorial Board: Angheluta-Bauer, Luiza / Chen, Xi / Chou, Tom / Grauer, Rainer / Marzocchella, Antonio / Rangarajan, Govindan / Trivisa, Konstantina / Weikard, Rudi / Yang, Xu


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Volume 20, Issue 3-4

Issues

The Multiplicity of Solutions for a Class of Nonlinear Fractional Dirichlet Boundary Value Problems with p-Laplacian Type via Variational Approach

Dongping Li
  • Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, People’s Republic of China
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/ Fangqi Chen
  • Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, People’s Republic of China
  • College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, People’s Republic of China
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/ Yukun An
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  • Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, People’s Republic of China
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Published Online: 2019-03-21 | DOI: https://doi.org/10.1515/ijnsns-2018-0102

Abstract

In this paper, by using variational methods and a critical point theorem due to Bonanno and Marano, the existence of at least three weak solutions is obtained for a class of p-Laplacian type nonlinear fractional coupled systems depending on two parameters. Two examples are given to illustrate the applications of our main results.

Keywords: nonlinear fractional Dirichlet boundary value problems; p-Laplacian type; variational method; critical point theory

PACS: 26A33; 34B15; 35A15

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About the article

Received: 2018-04-15

Accepted: 2019-02-20

Published Online: 2019-03-21

Published in Print: 2019-05-26


Citation Information: International Journal of Nonlinear Sciences and Numerical Simulation, Volume 20, Issue 3-4, Pages 361–371, ISSN (Online) 2191-0294, ISSN (Print) 1565-1339, DOI: https://doi.org/10.1515/ijnsns-2018-0102.

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