25 citations · 57 across the 16 of their papers we have counts for
16 papers
The Moser method and boundedness of solutions to infinitely degenerate elliptic equations
Lyudmila Korobenko, Cristian Rios, Eric Sawyer +1
We show that if is equipped with certain non-doubling metric and an Orlicz-Sobolev inequality holds for a special family of Young functions , then weak solution…
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…
Continuity of weak solutions to rough infinitely degenerate equations
Lyudmila Korobenko, Cristian Rios, Eric Sawyer +1
We obtain a generalization of the DeGiorgi Lemma to the infinitely degenerate regime and apply it to obtain continuity of weak solutions to certain infinitely degenerate equations.…
Harnack's Inequality and A Priori Estimates for Fractional Powers of Non-symmetric Differential Operators
Hugo Aimar, Gastón Beltritti, Ivana Gómez +1
We obtain a new general extension theorem in Banach spaces for operators which are not required to be symmetric, and apply it to obtain Harnack estimates and a priori regularity fo…
Sharp local boundedness and maximum principle in the infinitely degenerate regime via DeGiorgi iteration
Lyudmila Korobenko, Cristian Rios, Eric Sawyer +1
We obtain local boundedness and maximum principles for weak subsolutions to certain infinitely degenerate elliptic divergence form equations, and the local boundedness turns out to…
On the Kato problem and extensions for degenerate elliptic operators
David Cruz-Uribe, José María Martell, Cristian Rios
We study the Kato problem for degenerate divergence form operators. This was begun by Cruz-Uribe and Rios who proved that given an operator , where $…