Some uniqueness results for Bernoulli interior free-boundary problems in convex domains.
Cardaliaguet, Pierre, Tahraoui, Rabah (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Cardaliaguet, Pierre, Tahraoui, Rabah (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Hidenori Matsuzaki, Noboru Endou, Yasunari Shidama (2008)
Formalized Mathematics
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In this article, convex sets, convex combinations and convex hulls on complex linear spaces are introduced.MML identifier: CONVEX4, version: 7.8.10 4.99.1005
John I. E. Urbas (1986)
Annales de l'I.H.P. Analyse non linéaire
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Cuoghi, Paola, Salani, Paolo (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Tiziana Cardinali, Francesca Papalini (1993)
Annales Polonici Mathematici
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We present a stability theorem of Ulam-Hyers type for K-convex set-valued functions, and prove that a set-valued function is K-convex if and only if it is K-midconvex and K-quasiconvex.
Caruso, A. (2002)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Martin Kell (2014)
Analysis and Geometry in Metric Spaces
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In this paper the theory of uniformly convex metric spaces is developed. These spaces exhibit a generalized convexity of the metric from a fixed point. Using a (nearly) uniform convexity property a simple proof of reflexivity is presented and a weak topology of such spaces is analyzed. This topology, called coconvex topology, agrees with the usually weak topology in Banach spaces. An example of a CAT(0)-space with weak topology which is not Hausdorff is given. In the end existence and...
Nguyen Huu Tho, Tran Duc Van (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Sehie Park, Jong Sook Bae (1993)
Commentationes Mathematicae Universitatis Carolinae
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Using our own generalization [7] of J.C. Bellenger’s theorem [1] on the existence of maximizable u.s.cq̇uasiconcave functions on convex spaces, we obtain extended versions of the existence theorem of H. Ben-El-Mechaiekh [2] on zeros for multifunctions with non-compact domains, the coincidence theorem of S.H. Kum [5] for upper hemicontinuous multifunctions, and the Ky Fan type fixed point theorems due to E. Tarafdar [13].
Kharazishvili, A. (2003)
Georgian Mathematical Journal
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