A priori estimates and existence of solutions to the prescribed centroaffine curvature problem
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DOI: 10.1016/j.jfa.2017.08.024
Abstract: Abstract In this paper we study the prescribed centroaffine curvature problem in the Euclidean space R n + 1 . This problem is equivalent to solving a Monge–Ampere equation on the unit sphere. It corresponds… read more here.
Keywords: priori estimates; estimates existence; centroaffine curvature; prescribed centroaffine ... See more keywords
The rack orientation and curvature problem for retailers
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DOI: 10.1080/24725854.2020.1725253
Abstract: Abstract The layout of a retail store directly affects the products to which shoppers are exposed, and ultimately their purchase. Optimizing a layout to increase product visibility can directly benefit both the retailer (via increased… read more here.
Keywords: orientation curvature; rack orientation; orientation; curvature problem ... See more keywords
A flow approach to the prescribed Gaussian curvature problem in ℍ𝑛+1
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DOI: 10.1515/acv-2022-0033
Abstract: Abstract In this paper, we study the following prescribed Gaussian curvature problem: K = f ~ ( θ ) ϕ ( ρ ) α − 2 ϕ ( ρ ) 2… read more here.
Keywords: problem; rho; gaussian curvature; curvature problem ... See more keywords