On G-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in RN $R^{N}$

Boundary Value Problems

Yisheng Huang¹  Zhiying Deng²  Dong Xu² 

[1] Department of Mathematics, Soochow University;Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications;

关键词: G-invariant solution;    Rellich inequality;    Symmetric criticality principle;    Biharmonic elliptic system;   

DOI  :  10.1186/s13661-018-0971-5

来源: DOAJ

【 摘 要 】

Abstract In this work, a biharmonic elliptic system is investigated in RN $\mathbb{R}^{N}$, 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.

【 授权许可】

Unknown