A critical p-biharmonic system with negative exponents. (1st March 2020)

• Record Type: Journal Article
• Authors: Sang, Yanbin; Ren, Yan
• Is Part Of: Computers & mathematics with applications. Volume 79:issue 5(2020)
• Page Start: 1335
• Page End: 1361
• Publication Date: 2020-03-01
• Subjects: p-biharmonic system -- Negative exponents -- Sobolev critical constant -- Extremal function -- Variational method; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2019.08.032
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In this paper, we are devoted to the study of critical p -biharmonic system with a parameter λ, which involves strongly-coupled critical nonlinearities and negative exponents. We prove that there exists a positive constant λ ∗ such that the above problem admits at least two solutions if λ ∈ ( 0, λ ∗ ) .