Título :	Classification of radial solutions for fully nonlinear equations with Hardy potential
Autor :	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
Fecha de publicación :	ago-2024
Editorial :	American Institute of Mathematical Sciences
Citación :	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
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