Articles

MULTIPLE SYMMETRIC RESULTS FOR A CLASS OF BIHARMONIC ELLIPTIC SYSTEMS WITH CRITICAL HOMOGENEOUS NONLINEARITY IN RN

  • Zhiying DENG ,
  • Yisheng HUANG
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  • 1. School of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;
    2. Department of Mathematics, Soochow University, Suzhou 215006, China

Received date: 2016-08-30

  Revised date: 2017-06-13

  Online published: 2017-12-25

Supported by

Supported by the Natural Science Foundation of China (11471235, 11601052), and funded by Chongqing Research Program of Basic Research and Frontier Technology (cstc2017jcyjBX0037).

Abstract

This paper is dedicated to studying the existence and multiplicity of symmetric solutions for a class of biharmonic elliptic systems with critical homogeneous nonlinearity in RN. By virtue of variational methods and the symmetric criticality principle of Palais, we establish several existence and multiplicity results of G-symmetric solutions under certain appropriate hypotheses on the parameters and the weighted functions.

Cite this article

Zhiying DENG , Yisheng HUANG . MULTIPLE SYMMETRIC RESULTS FOR A CLASS OF BIHARMONIC ELLIPTIC SYSTEMS WITH CRITICAL HOMOGENEOUS NONLINEARITY IN RN[J]. Acta mathematica scientia, Series B, 2017 , 37(6) : 1665 -1684 . DOI: 10.1016/S0252-9602(17)30099-1

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