José Francisco de Oliveira - UFPI

Título:

Hardy-type inequalities and Differential Equations

Resumo:

In this talk we discuss some extensions for a classical inequality proved by G.H. Hardy around 1920’s. Our aim is to connect theses extensions with existence results for a large class of differential equation including operators like Laplace (linear range) and Hessian (fully nonlinear range) on radially symmetric domains. This is a jointed work with J.M do Ó (Federal University of Paraíba and Univesity of Brasília) and P. Ubilla (Universidad de Santiago de Chile).

Referências:

[1] G.H. Hardy, Note on a theorem of Hilbert, Math. Z. 6 (1920), 314–0317.

[2] J. F. de Oliveira, J. M. do Ó, P. Ubilla, Existence for a k-Hessian equation involving supercritical growth, J. Differential Equations 267 (2019) 1001–1024.

[3] J. F. de Oliveira, J. M. do Ó, P. Ubilla, Hardy-Sobolev type inequality and supercritical extremal problem, Discrete Contin. Dyn. Syst. 39 (2019) 3345–3364.