Biomedical subjects

J E Fornaess

Publications and source records attributed to J E Fornaess.

2 recordsLinked to original sources

PubMed1977

Complex submanifolds in real-analytic pseudoconvex hypersurfaces.

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.

Journal Article↗

PubMed1975

Exhaustion functions and Stein neighborhoods for smooth pseudoconvex domains.

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.

Journal Article↗