Content area

Abstract

In this work, a biharmonic elliptic system is investigated in RN, which involves singular potentials and multiple critical exponents. By the Rellich inequality and the symmetric criticality principle, the existence and multiplicity of G-invariant solutions to the system are established. To our best knowledge, our results are new even in the scalar cases.

Details

Title
On G-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in R N
Author
Deng, Zhiying 1   VIAFID ORCID Logo  ; Xu, Dong 1 ; Huang, Yisheng 2 

 Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing, P.R. China 
 Department of Mathematics, Soochow University, Suzhou, P.R. China 
Pages
1-21
Publication year
2018
Publication date
Apr 2018
Publisher
Hindawi Limited
ISSN
16872762
e-ISSN
16872770
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2023991112
Copyright
Boundary Value Problems is a copyright of Springer, (2018). All Rights Reserved.