Remarks on Holmgren's uniqueness theorem
Lars Hörmander (1993)
Annales de l'institut Fourier
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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
Ivar Ekeland, Ngalla Djitté (2006)
Annales de l'I.H.P. Analyse non linéaire
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Generically strongly -convex complex manifolds
Terrence Napier, Mohan Ramachandran (2001)
Annales de l’institut Fourier
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Suppose is a real analytic plurisubharmonic exhaustion function on a connected noncompact complex manifold . The main result is that if the real analytic set of points at which is not strongly -convex is of dimension at most , then almost every sufficiently large sublevel of is strongly -convex as a complex manifold. For of dimension , this is a special case of a theorem of Diederich and Ohsawa. A version for 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 -equation on non-smooth strictly -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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