1 citations · 1 across the 6 of their papers we have counts for
4 papers · 1 filter
Orlicz-Sobolev inequalities and the Dirichlet problem for infinitely degenerate elliptic operators
Usman Hafeez, Théo Lavier, Lucas Williams +1
We investigate a connection between solvability of the Dirichlet problem for an infinitely degenerate elliptic operator and the validity of an Orlicz-Sobolev inequality in the asso…
Orlicz Sobolev Inequalities and the Doubling Condition
Lyudmila Korobenko
In [12] it has been shown that Sobolev inequality with implies the doubling condition on the underlying measure. We show that even weaker Orlicz-Sobolev inequalities,…
Hypoellipticity without loss of derivatives for Fedii's type operators
Timur Akhunov, Lyudmila Korobenko, Cristian Rios
We prove that second order linear operators on of the form , where and satisfy Morimoto's super-logari…
Hypoellipticity of a Class of Infinitely Degenerate Second Order Operators and Systems
Lyudmila Korobenko, Cristian Rios
In this paper we establish a hypoellipticity result for second order linear operators comprised by a linear combination, with infinite vanishing coefficients, of subelliptic operat…