Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (5): 1186-1191.

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Existence and Multiplicity of Sign-Changing Solutions for a Bi-Harmonic Equation with Sublinear Nonlinearity

Gui Bao*(),Qian Sun()   

  1. School of Mathematics and Statistics Science, Ludong University, Shandong Yantai 264025
  • Received:2018-11-14 Online:2020-10-26 Published:2020-11-04
  • Contact: Gui Bao E-mail:baoguigui@163.com;julysunqian@gmail.com

Abstract:

In this paper, we study a class of sublinear biharmonic equation with p-Laplacian and Neumann boundary condition. By using a dual approach, we prove the existence and multiplicity of sign-changing solutions for the problem.

Key words: Sublinear, Biharmonic equation, p-Laplacian, Neumann boundary condition

CLC Number: 

  • O175.4
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