Fourier analysis and optimal Hardy–Adams inequalities on hyperbolic spaces of any even dimension
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2018.05.035
Abstract: Abstract Recently, the second and third authors established the sharp Hardy–Adams inequalities of second order derivatives with the best constants on the hyperbolic space B 4 of dimension four ( [40] , Adv. Math. (2017)).… read more here.
Keywords: hyperbolic spaces; sharp hardy; hardy adams; even dimension ... See more keywords
Higher order Brezis-Nirenberg problem on hyperbolic spaces: Existence, nonexistence and symmetry of solutions
Sign Up to like & getrecommendations! Published in 2022 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2022.108259
Abstract: The main purpose of this paper is to establish the existence, nonexistence and symmetry of nontrivial solutions to the higher order Brezis-Nirenberg problems associated with the GJMS operators $P_k$ on bounded domains in the hyperbolic… read more here.
Keywords: nonexistence symmetry; higher order; hyperbolic spaces; existence nonexistence ... See more keywords
Quantitative translations for viscosity approximation methods in hyperbolic spaces
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125823
Abstract: In the setting of hyperbolic spaces, we show that the convergence of Browder-type sequences and Halpern iterations respectively entail the convergence of their viscosity version with a Rakotch map. We also show that the convergence… read more here.
Keywords: viscosity; hyperbolic spaces; quantitative translations; browder type ... See more keywords