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Radial solvability for Pucci-Lane-Emden systems in annuli

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Author(s):
Maia, Liliane ; dos Santos, Ederson Moreira ; Nornberg, Gabrielle
Total Authors: 3
Document type: Journal article
Source: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS; v. N/A, p. 14-pg., 2023-03-15.
Abstract

We establish a priori bounds, existence and qualitative behaviour of positive radial solutions in annuli for a class of nonlinear systems driven by Pucci extremal operators and Lane-Emden coupling in the superlinear regime. Our approach is purely nonvariational. It is based on the shooting method, energy functionals, spectral properties, and on a suitable criteria for locating critical points in annular domains through the moving planes method that we also prove. (AU)

FAPESP's process: 18/04000-9 - EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR ELLIPTIC PROBLEMS WITH QUADRATIC GROWTH IN THE GRADIENT
Grantee:Gabrielle Saller Nornberg
Support Opportunities: Scholarships in Brazil - Post-Doctoral