Continuous solutions of nonlinear Cauchy-Riemann equations and pseudoholomorphic curves in normal coordinates

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...

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Bibliographic Details
Published in:Transactions of the American Mathematical Society 2017-07, Vol.369 (7), p.4865-4887
Main Authors: COFFMAN, ADAM, PAN, YIFEI, ZHANG, YUAN
Format: Article
Language:English
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Summary: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.]]>
ISSN:0002-9947
1088-6850
DOI:10.1090/tran/6845