Qualitative properties of blow-up solutions to some semilinear elliptic systems in non-convex domains. (June 2023)

• Record Type: Journal Article
• Authors: Esposito, Francesco; Trombetta, Alessandro
• Is Part Of: Nonlinear analysis. Volume 71(2023)
• Publication Date: 2023-06
• Subjects: Cooperative elliptic systems -- Boundary blow-up -- Large solutions -- Symmetry of solutions -- Radial symmetry -- Moving plane method; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2022.103804
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper we study qualitative properties of boundary blow-up solutions to some semilinear elliptic cooperative systems in bounded non-convex domains. In particular, by a careful adaptation of the celebrated moving plane procedure of Alexandrov–Serrin, we deduce symmetry and monotonicity results for blow-up solutions for this class of systems.