Q-curvature type problem on bounded domains of Rn

Article type: Research Article

Authors: Abdelhedi, Wael^a | Chtioui, Hichem^a | Hajaiej, Hichem^{b; *}

Affiliations: [a] Department of Mathematics, Faculty of Sciences of Sfax, Sfax University, 3018 Sfax, Tunisia. E-mails: wael_hed@yahoo.fr, Hichem.Chtioui@fss.rnu.tn | [b] California State University Los Angeles, 5151 University Drive, Los Angeles, USA. E-mail: hichem.hajaiej@gmail.com

Correspondence: [*] Corresponding author. E-mail: hichem.hajaiej@gmail.com.

Abstract: In this paper, we establish compactness and existence results to a Branson–Paneitz type problem on a bounded domain of Rn with Navier boundary condition.

Keywords: Nonlinear elliptic PDE, critical exponent, lack of compactness, critical points at infinity

DOI: 10.3233/ASY-181473

Journal: Asymptotic Analysis, vol. 109, no. 3-4, pp. 143-170, 2018