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math.AP2009★ 1 cited
The solution of the Kato problem for degenerate elliptic operators with Gaussian bounds
D. Cruz-Uribe, C. Rios
We prove the Kato conjecture for degenerate elliptic operators in R^n. More precisely, we consider the divergence form operator L_w = -1/w div (wA) grad, where w is a Muckenhoupt A…
math.AP2008★ 2 cited
Smoothness of radial solutions to Monge-Ampere equations
Cristian Rios, Eric Sawyer
We characterize when radial weak solutions to Monge-Ampere equations are smooth. This paper extends previous partial results and also covers Generalized Monge-Ampere equations and…
math.AP2005
The Dirichlet problem for elliptic equations in divergence and nondivergence form with singular drift term
Cristian Rios
Given two elliptic operators L and M in nondivergence form, with coefficients A_L(x), A_M(x) and drift terms b_L(x), b_M(x), respectively, satisfying a Carleson measure disagreemen…