Continuous Solutions of Nonlinear Cauchy-Riemann Equations and Pseudoholomorphic Curves in Normal Coordinates
نویسندگان
چکیده
We establish elliptic regularity for nonlinear, inhomogeneous Cauchy-Riemann equations under weak assumptions, and give a counterexample in a borderline case. In some cases where the inhomogeneous term has a separable factorization, the solution set can be explicitly calculated. The methods also give local parametric formulas for pseudoholomorphic curves with respect to some continuous almost complex structures.
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