We find necessary and sufficient conditions for the validity of weighted Rellich inequalities in Lp, 1 ≤ p≤ ∞, for functions in bounded domains vanishing at the boundary. General operators like L=Δ+cx|x|2·∇-b|x|2 are considered. Critical cases and remainder terms are also investigated.
Rellich inequalities in bounded domains
Metafune G.
;Negro L.;Sobajima M.;Spina C.
2021-01-01
Abstract
We find necessary and sufficient conditions for the validity of weighted Rellich inequalities in Lp, 1 ≤ p≤ ∞, for functions in bounded domains vanishing at the boundary. General operators like L=Δ+cx|x|2·∇-b|x|2 are considered. Critical cases and remainder terms are also investigated.File in questo prodotto:
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