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Local solvability of the -equation with boundary regularity on weakly q-convex domains

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Abstract

We consider weakly q-convex domains with smooth boundary and show that the -equation is locally solvable with regularity up to the boundary for smooth forms of degree (p,s) for s≥q.

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  1. Mathematisches Institut, Universität Leipzig, Augustusplatz 10/11, D-04109, Leipzig, Germany

    Judith Brinkschulte

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  1. Judith Brinkschulte
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Correspondence to Judith Brinkschulte.

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Brinkschulte, J. Local solvability of the -equation with boundary regularity on weakly q-convex domains. Math. Ann. 334, 143–152 (2006). https://doi.org/10.1007/s00208-005-0711-x

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  • DOI: https://doi.org/10.1007/s00208-005-0711-x

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