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

  • Dongping Li , Fangqi Chen and Yukun An EMAIL logo
Published/Copyright: March 21, 2019

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.

PACS: 26A33; 34B15; 35A15

Acknowledgements:

This work is supported by the National Natural Science Foundation of China (Grant No: 11572148, 11872201), the Postgraduate Research & Practice Innovation Program of Jiangsu Province (Grant No: KYCX18\_0242) and the Nanjing University of Aeronautics and Astronautics PhD short-term visiting scholar project (Grant No. 190108DF08).

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Received: 2018-04-15
Accepted: 2019-02-20
Published Online: 2019-03-21
Published in Print: 2019-05-26

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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