44 citations · 102 across the 38 of their papers we have counts for
4 papers · 1 filter
Degenerate parabolic -Laplacian equations: existence, uniqueness and asymptotic behavior of solutions
David Cruz-Uribe, Kabe Moen, Yuanzhen Shao
In this paper we study the degenerate parabolic -Laplacian,, where the degeneracy is controlled by a mat…
Matrix weighted Poincaré inequalities and applications to degenerate elliptic systems
Joshua Isralowitz, Kabe Moen
We prove Poincaré and Sobolev inequalities in matrix A weighted spaces. We then use these Poincaré inequalities to prove existence and regularity results for degenerate syste…
Regularity results for weak solutions of elliptic PDEs below the natural exponent
David Cruz-Uribe, Kabe Moen, Scott Rodney
We prove regularity estimates for weak solutions to the Dirichlet problem for a divergence form elliptic operator. We give estimates for the second derivative for . Our…
Regularity of solutions to degenerate -Laplacian equations
David Cruz-Uribe, Kabe Moen, Virginia Naibo
We prove regularity results for solutions of the equation \[div(< AXu,X u>^{(p-2)/2} AX u) = 0,\] , where is a family of vector fields satisfying Hörm…