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Ellipsoids in pseudoconvex domains

We consider the problem of maximizing the volume of hermitian ellipsoids inscribed in a given pseudoconvex domain in complex Euclidean space. We prove existence and uniqueness, and give a characterization of the maximizer.
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Cohomologically complete and pseudoconvex domains

Commentarii Mathematici Helvetici, 1980
Eastwood, Michael G., Vigna Suria, G.
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The Levi problem on pseudoconvex manifolds which are not strongly pseudoconvex

Mathematische Annalen, 1976
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ON PSEUDOCONVEXITY OF COMPLEX LIE GROUPS

Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1973
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WHAT IS...a Pseudoconvex Domain?

Notices of the American Mathematical Society, 2012
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Polynomials and pseudoconvexity

Polynomials and pseudoconvexity
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On Strict Pseudoconvexity

Journal of Applied Analysis, 2007
Summary: The present paper provides first and second-order characterizations of a radially lower semicontinuous strictly pseudoconvex function \(f: X \to \mathbb R\) defined on a convex set \(X\) in the real Euclidean space \(\mathbb R^n\) in terms of the lower Dini-directional derivative.
Vsevolod Ivanov
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On the Pseudoconvexity of a Quadratic Fractional Function

Optimization, 2002
In this paper we give a necessary and sufficient condition for the pseudoconvexity of a function f which is the ratio of a quadratic function over an affine function. The obtained results allow to suggest a simple algorithm to test the pseudoconvexity of f and also to characterize the pseudoconvexity of the sum of a linear and a linear fractional ...
Alberto Cambini, Laura Martein, Jean-Pierre Crouzeix   +2 more
exaly   +3 more sources

2 Pseudoconvexity

2020
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