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Local solvability in top degree of the semilinear Kohn equation

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Abstract

We study the local solvability problem for a class of semilinear equations whose linear part is the Kohn Laplacian, acting on top degree forms. We also study the validity of the Poincaré lemma, in top degree, for semilinear perturbations of the tangential Cauchy–Riemann complex.

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  1. Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129, Torino, Italy

    Fabio Nicola

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  1. Fabio Nicola
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Correspondence to Fabio Nicola.

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Nicola, F. Local solvability in top degree of the semilinear Kohn equation. Calc. Var. 33, 187–198 (2008). https://doi.org/10.1007/s00526-008-0167-4

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  • DOI: https://doi.org/10.1007/s00526-008-0167-4

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