Biomedical subjects
Publications and source records attributed to K Diederich.
A theorem is given that guarantees the existence of nontrivial complex analytic submanifolds in real-analytic pseudoconvex boundaries near real-analytic submanifolds with holomorphic vectorfields on which the Levi form vanishes. Applications to the delta-Neumann problem and to the existence of Stein neighborhoods are discussed.
A strictly plurisubharmonic exhaustion function with negative values is constructed for arbitrary relatively compact pseudoconvex domains with smooth boundary in a Stein manifold. It is applied to verify the Serre conjecture in a special case. A sufficient condition is given that guarantees the existence of a neighborhood-basis of Stein domains for certain bounded pseudoconvex domains on a Stein manifold.
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