Cristian Rios

Publications

• C. Rios, The L^p Dirichlet Problem and Nondivergence Harmonic Measure, Trans. AMS 355, 2 665--687, (2003).

• C. Rios., E. Sawyer and R. Wheeden, A higher dimensional partial Legendre transform, and regularity of degenerate Monge-Ampère equations, Advances in Mathematics 193/2, 373-415 (2005)

• C. Rios, L^p regularity of the Dirichlet problem for Elliptic Equations with singular drifts. Publicacions Matemàtiques, 50, 2, September 2006.

Preprints

• C.Rios, E.Sawyer and R.Wheeden, A Priori Estimates for Infinitely Degenerate Quasilinear Equations. Preprint.

• C.Rios, E. Sawyer and R.Wheeden, Regularity of Certain Subelliptic Monge-Ampere equations . Preprint.

• C.Rios, E. Sawyer and R.Wheeden, Hypoellipticity for Infinitely Degenerate Quasilinear Equations and the Dirichlet Problem. In preparation.

• D.Cruz-Uribe SFO and C.Rios, Gaussian Bounds for Degenerate Elliptic Evolutionary Operators. In preparation.

• C.Rios and E. Sawyer, The Monge Ampere equation on domains with degenerate boundary .In preparation.

Research Proposals

• D. Cruz-Uribe and C. Rios, Degenerate Elliptic Operators and the Kato square root problem, Submitted to the Analysis Disciplinary Program (PD 04-1281), National Science Foundation.

 

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