Results 41 to 50 of about 111,374 (118)

Ground state solutions for the Hénon prescribed mean curvature equation

Advances in Nonlinear Analysis, 2018
In this paper, we consider the analogous of the Hénon equation for the prescribed mean curvature problem in ℝN{{\mathbb{R}^{N}}}, both in the Euclidean and in the Minkowski spaces. Motivated by the studies of Ni and Serrin [W. M. Ni and J.
Azzollini Antonio
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Brain asymmetry is globally different in males and females: exploring cortical volume, area, thickness, and mean curvature. [PDF]

Cereb Cortex, 2023
Dumitru ML.
europepmc   +1 more source

Rotational Hypersurfaces in S3(r)R Product Space

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2017
We consider rotational hypersurfaces in S3(r) R product space of five dimensional Euclidean space E5. We calculate the mean curvature and the Gaussian curvature, and give some results.
Erhan Güler, Ömer Kişi
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Detection of Corneal Ectasia Using OCT Maps of Pachymetry and Posterior Surface Mean Curvature. [PDF]

J Refract Surg, 2022
Pavlatos E, Chen S, Chamberlain W, Huang D, Li Y.   +4 more
europepmc   +1 more source

Local Well-Posedness of Skew Mean Curvature Flow for Small Data in d ≥ 4 Dimensions. [PDF]

Commun Math Phys, 2022
Huang J, Tataru D.
europepmc   +1 more source

Totally real surfaces in CP2 with parallel mean curvature vector

International Journal of Mathematics and Mathematical Sciences, 1992
It has been shown that a totally real surface in CP2 with parallel mean curvature vector and constant Gaussian curvature is either flat or totally geodesic.
M. A. Al-Gwaiz, Sharief Deshmukh
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Improved Detection of Chronic Obstructive Pulmonary Disease at Chest CT Using the Mean Curvature of Isophotes. [PDF]

Radiol Artif Intell, 2022
Savadjiev P, Gallix B, Rezanejad M, Bhatnagar S, Semionov A, Siddiqi K, Forghani R, Reinhold C, Eidelman DH, Dandurand RJ.   +9 more
europepmc   +1 more source

Differentiating Between Contact Lens Warpage and Keratoconus Using OCT Maps of Corneal Mean Curvature and Epithelial Thickness. [PDF]

J Refract Surg, 2022
Pavlatos E, Harkness B, Louie D, Chamberlain W, Huang D, Li Y.   +5 more
europepmc   +1 more source

Solutions to mean curvature equations in weighted standard static spacetimes

Electronic Journal of Differential Equations, 2020
In this article, we study the solutions for the mean curvature equation in a weighted standard static spacetime, $\mathbb{P}_f^n\times_\rho\mathbb{R}_1$, having a warping function $\rho$ whose weight function f does not depend on the parameter $t\in ...
Henrique F. de Lima, Andre F. A. Ramalho, Marco Antonio L. Velasquez   +2 more
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On constant higher order mean curvature hypersurfaces in Hn×R ${\mathbb{H}}^{n}{\times}\mathbb{R}$

Advanced Nonlinear Studies
We classify hypersurfaces with rotational symmetry and positive constant r-th mean curvature in Hn×R ${\mathbb{H}}^{n}{\times}\mathbb{R}$ . Specific constant higher order mean curvature hypersurfaces invariant under hyperbolic translation are also ...
Nelli Barbara, Pipoli Giuseppe, Russo Giovanni   +2 more
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