Affine Focal Points for Locally Strictly Convex Surfaces in 4-Space
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DOI: 10.1007/s00025-016-0606-z
Abstract: We consider locally strictly convex surfaces M in affine 4-space. By using the metric of the transversal vector field on M we introduce a new affine normal plane and the familly of affine distance functions… read more here.
Keywords: affine focal; strictly convex; locally strictly; affine normal ... See more keywords
An accelerated minimal gradient method with momentum for strictly convex quadratic optimization
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DOI: 10.1007/s10543-021-00886-9
Abstract: In this article we address the problem of minimizing a strictly convex quadratic function using a novel iterative method. The new algorithm is based on the well-known Nesterov’s accelerated gradient method. At each iteration of… read more here.
Keywords: strictly convex; accelerated minimal; gradient method; convex quadratic ... See more keywords
On Strictly Convex Central Configurations of the 2n-Body Problem
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DOI: 10.1007/s10884-018-9708-5
Abstract: We consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for $$n\ge 5$$n≥5 all convex central configurations of two twisted regular… read more here.
Keywords: central configurations; body problem; convex central; strictly convex ... See more keywords
Radon Inversion Problem for Holomorphic Functions on Circular, Strictly Convex Domains
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DOI: 10.1007/s11785-021-01130-6
Abstract: In this paper we study the so-called Radon inversion problem in bounded, circular, strictly convex domains with $${\mathcal {C}}^2$$ boundary. We show that given $$p>0$$ and a strictly positive, continuous function $$\Phi $$ on $$\partial… read more here.
Keywords: circular strictly; inversion problem; radon inversion; convex domains ... See more keywords
Dispersion for the wave and the Schrödinger equations outside strictly convex obstacles and counterexamples
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DOI: 10.1016/j.crma.2017.05.011
Abstract: Abstract The purpose of this note is to prove dispersive estimates for the wave and the Schrodinger equations outside strictly convex obstacles in R d . If d = 3 , we show that, for… read more here.
Keywords: strictly convex; equations outside; dispersion wave; convex obstacles ... See more keywords
A reflection on Tingley's problem and some applications
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.03.041
Abstract: Abstract In this paper we show how some metric properties of the unit sphere of a normed space can help to approach a solution to Tingley's problem. In our main result we show that if… read more here.
Keywords: strictly convex; applications reflection; reflection tingley; tingley ... See more keywords
Rigidity of capillary surfaces in compact 3-manifolds with strictly convex boundary
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DOI: 10.1017/s0013091523000135
Abstract: Abstract In this paper, we obtain one sharp estimate for the length $L(\partial\Sigma)$ of the boundary $\partial\Sigma$ of a capillary minimal surface Σ2 in M3, where M is a compact three-manifolds with strictly convex boundary,… read more here.
Keywords: partial sigma; geometry; convex boundary; strictly convex ... See more keywords
Fixed point theorems for non-self mappings with nonlinear contractive condition in strictly convex Menger PM-spaces
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DOI: 10.24193/fpt-ro.2017.1.25
Abstract: In this paper, existence and uniqueness of a fixed point for non-self mappings with nonlinear contractive condition in the sense of Fang [On φ-contractions in probabilistic and fuzzy metric spaces. Fuzzy Set Syst. (267) 2015,… read more here.
Keywords: strictly convex; menger spaces; point; non self ... See more keywords
Parallel Locally Strictly Convex Surfaces in Four-Dimensional Affine Space Contained in Hyperquadrics
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DOI: 10.3390/sym13091575
Abstract: Locally strictly convex surfaces in four-dimensional affine space are studied from a perspective of the affine structure invented by Nuño-Ballesteros and Sánchez, which is especially suitable in convex geometry. The surfaces that are embedded in… read more here.
Keywords: strictly convex; locally strictly; four dimensional; affine ... See more keywords