Positive and nodal solutions for parametric superlinear weighted (p, q)-equations. (June 2023)

• Record Type: Journal Article
• Authors: Papageorgiou, Nikolaos S.; Scapellato, Andrea
• Is Part Of: Nonlinear analysis. Volume 71(2023)
• Publication Date: 2023-06
• Subjects: Nonlinear regularity -- Maximum principle -- Comparison principle -- Positive and nodal solutions -- Solution multifunction; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2022.103786
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We consider a nonlinear eigenvalue problem for equations driven by a weighted ( p, q ) -Laplacian and a superlinear reaction. We prove a global (with respect to the parameter λ > 0 ) existence and multiplicity result. We also generate nodal (sign-changing) solutions. Finally, we determine the topological properties of the solution set and prove the continuity properties of the solution multifunction.