Titre:	Classification of radial solutions for fully nonlinear equations with Hardy potential
Auteur(s):	Maia, Liliane de Almeida Nornberg, Gabrielle Pacella, Filomena
metadata.dc.contributor.affiliation:	Universidade de Brasília Universidad de Chile Sapienza Università di Roma
Assunto::	Soluções radiais positivas Equações não lineares
Date de publication:	aoû-2024
Editeur:	American Institute of Mathematical Sciences
Référence bibliographique:	MAIA, Liliane; NORNBERG, Gabrielle; PACELLA, Filomena. Classification of radial solutions for fully nonlinear equations with Hardy potential. Discrete and Continuous Dynamical Systems, [S. l. ], v. 44, n. 8, 2232-2251, 2024. DOI: 10.3934/dcds.2024025.
Abstract:	We study existence, nonexistence and regularity of positive radial solutions for a class of nonlinear equations driven by Pucci extremal operators, power nonlinearity and Hardy weight. We classify both regular continuous nondifferentiable and singular solutions defined in radial domains, punctured or not. We also obtain critical threshold exponents for the solvability in the exterior of a ball, as well as uniqueness and symmetry in annuli. Our results are based on the behavior of the trajectories described through suitable dynamical systems on the plane, in addition to energy monotonicity and asymptotic analysis.
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
DOI:	10.3934/dcds.2024025
Collection(s) :	Artigos publicados em periódicos e afins

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