A convex Darboux theorem

Pierre-André Chiappori; Ivar Ekeland

Displaying similar documents to “A convex Darboux theorem”

Remarks on Holmgren's uniqueness theorem

Lars Hörmander (1993)

Annales de l'institut Fourier

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An inverse problem in the economic theory of demand

Ivar Ekeland, Ngalla Djitté (2006)

Annales de l'I.H.P. Analyse non linéaire

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Generically strongly $q$ -convex complex manifolds

Terrence Napier, Mohan Ramachandran (2001)

Annales de l’institut Fourier

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Suppose $ϕ$ is a real analytic plurisubharmonic exhaustion function on a connected noncompact complex manifold $X$ . The main result is that if the real analytic set of points at which $ϕ$ is not strongly $q$ -convex is of dimension at most $2 q + 1$ , then almost every sufficiently large sublevel of $ϕ$ is strongly $q$ -convex as a complex manifold. For $X$ of dimension $2$ , this is a special case of a theorem of Diederich and Ohsawa. A version for $ϕ$ real analytic with corners is also obtained.

On a generalization of close-to-convex functions

Swadesh Kumar Sahoo, Navneet Lal Sharma (2015)

Annales Polonici Mathematici

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The paper of M. Ismail et al. [Complex Variables Theory Appl. 14 (1990), 77-84] motivates the study of a generalization of close-to-convex functions by means of a q-analog of the difference operator acting on analytic functions in the unit disk 𝔻 = {z ∈ ℂ:|z| < 1}. We use the term q-close-to-convex functions for the q-analog of close-to-convex functions. We obtain conditions on the coefficients of power series of functions analytic in the unit disk which ensure that they generate...

Solution of the $\bar{\partial}$ -equation on non-smooth strictly $q$ -concave domains with Hölder estimates and the Andreotti-Vesentini separation theorem

Gerd Schmalz (1991)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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An example of non-convex minimization and an application to Newton's problem of the body of least resistance

T. Lachand-Robert, M. A. Peletier (2001)

Annales de l'I.H.P. Analyse non linéaire

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Displaying similar documents to “A convex Darboux theorem”

Remarks on Holmgren's uniqueness theorem

An inverse problem in the economic theory of demand

Generically strongly q -convex complex manifolds

On a generalization of close-to-convex functions

Solution of the ∂ ¯ -equation on non-smooth strictly q -concave domains with Hölder estimates and the Andreotti-Vesentini separation theorem

An example of non-convex minimization and an application to Newton's problem of the body of least resistance

Generically strongly $q$ -convex complex manifolds

Solution of the $\bar{\partial}$ -equation on non-smooth strictly $q$ -concave domains with Hölder estimates and the Andreotti-Vesentini separation theorem