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math.CV2014
Continuous solutions of nonlinear Cauchy-Riemann equations and pseudoholomorphic curves in normal coordinates
Adam Coffman, Yifei Pan, Yuan Zhang
We establish elliptic regularity for nonlinear inhomogeneous Cauchy-Riemann equations under minimal assumptions, and give a counterexample in a borderline case. In some cases where…
math.CV2009
Some nonlinear differential inequalities and an application to Hölder continuous almost complex structures
Adam Coffman, Yifei Pan
We consider some second order quasilinear partial differential inequalities for real valued functions on the unit ball and find conditions under which there is a lower bound for th…
math.CV2009
CR singularities of real fourfolds in
Adam Coffman
CR singularities of real 4-submanifolds in complex 3-space are classified by using local holomorphic coordinate changes to transform the quadratic coefficients of the real analytic…