Radial solvability for Pucci-Lane-Emden systems in annuli

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, e...

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Bibliographic Details
Published in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2024-04, Vol.154 (2), p.494-507
Main Authors: Maia, Liliane, Moreira dos Santos, Ederson, Nornberg, Gabrielle
Format: Article
Language:English
Subjects:
Annuli
Critical point
Eigenvalues
Nonlinear systems
Stochastic control theory
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Summary: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.
ISSN:0308-2105
1473-7124
DOI:10.1017/prm.2023.21