The goal of this paper is to study the asymptotic behaviour near the origin of positive radial solutions of the equation M^±(D^2u) + µ u/r^2 = u^p in B1(0) \ {0} (1) when p > 1 and µ is equal to the principal eigenvalue associated with the singular potential r^{-2}.

Fully nonlinear equations in punctured balls: the resonant case / Birindelli, Isabella; Demengel, Françoise; Leoni, Fabiana. - In: LA MATEMATICA. - ISSN 2730-9657. - 5:12(2026). [10.1007/s44007-025-00191-9]

Fully nonlinear equations in punctured balls: the resonant case

Isabella Birindelli
;
Fabiana Leoni
2026

Abstract

The goal of this paper is to study the asymptotic behaviour near the origin of positive radial solutions of the equation M^±(D^2u) + µ u/r^2 = u^p in B1(0) \ {0} (1) when p > 1 and µ is equal to the principal eigenvalue associated with the singular potential r^{-2}.
2026
Fully non linear equations; sngular potential; superlinear forcing term
01 Pubblicazione su rivista::01a Articolo in rivista
Fully nonlinear equations in punctured balls: the resonant case / Birindelli, Isabella; Demengel, Françoise; Leoni, Fabiana. - In: LA MATEMATICA. - ISSN 2730-9657. - 5:12(2026). [10.1007/s44007-025-00191-9]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1756588
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