In Autumn 2020, DOAJ will be relaunching with a new website with updated functionality, improved search, and a simplified application form. More information is available on our blog. Our API is also changing.

Hide this message

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

Boundary Value Problems. 2018;2018(1):1-21 DOI 10.1186/s13661-018-0971-5

 

Journal Homepage

Journal Title: Boundary Value Problems

ISSN: 1687-2762 (Print); 1687-2770 (Online)

Publisher: SpringerOpen

LCC Subject Category: Science: Mathematics: Analysis

Country of publisher: United Kingdom

Language of fulltext: English

Full-text formats available: PDF, HTML

 

AUTHORS


Zhiying Deng (Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications)

Dong Xu (Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications)

Yisheng Huang (Department of Mathematics, Soochow University)

EDITORIAL INFORMATION

Blind peer review

Editorial Board

Instructions for authors

Time From Submission to Publication: 13 weeks

 

Abstract | Full Text

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.