Results 11 to 20 of about 542,167 (225)
Rigidity Results for Some Boundary Quasilinear Phase Transitions [PDF]
Communications in Partial Differential Equations, 2009 We consider a quasilinear equation given in the half-space, i.e. a so called boundary reaction problem. Our concerns are a geometric Poincar inequality and, as a byproduct of this inequality, a result on the symmetry of low-dimensional bounded stable solutions, under some suitable assumptions on the nonlinearities.
Y. Sire, E. Valdinoci
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Initial Data Rigidity Results. [PDF]
Commun Math Phys, 2021 AbstractWe prove several rigidity results related to the spacetime positive mass theorem. A key step is to show that certain marginally outer trapped surfaces are weakly outermost. As a special case, our results include a rigidity result for Riemannian manifolds with a lower bound on their scalar curvature.
Eichmair M, Galloway GJ, Mendes A.
europepmc +8 more sources
Rigidity results in general relativity: A review [PDF]
Surveys in Differential Geometry, 2015 In this survey we review the progress made in the last ten years in understanding the Black Hole Rigidity problem in the setting of smooth spacetimes. We review both local and global results and discuss the main mathematical ideas behind them.
Ionescu, Alexandru, Klainerman, Sergiu
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Symmetry and rigidity results for composite membranes and plates
Bruno Pini Mathematical Analysis Seminar, 2020 The composite membrane problem is an eigenvalue optimization problem deeply studied from the beginning of the '00's. In this note we survey most of the results proved by several authors over the last twenty years, up to the recent paper [14] written in ...
Eugenio Vecchi
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Quantitative rigidity results for conformal immersions [PDF]
American Journal of Mathematics, 2014 In this paper we prove several quantitative rigidity results for conformal immersions of surfaces in ${\Bbb R}^n$ with bounded total curvature. We show that (branched) conformal immersions which are close in energy to either a round sphere, a conformal Clifford torus, an inverted catenoid, an inverted Enneper's minimal surface or an inverted Chen's ...
Lamm, Tobias, Nguyen, Huy The
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A rigidity result for $ 2 $-dimensional $ \lambda $-translators
AIMS Mathematics, 2023 <abstract><p>In this paper, we will develop a different technique to study the rigidity of complete $ \lambda $-translators $ x:M^{2} \rightarrow \mathbb R^{3} $ with the non-zero constant gauss curvature in the Euclidean space $ \mathbb R^{3} $.</p></abstract>
Jin Liu, Botao Wang
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Rigidity Results for Shrinking and Expanding Ricci Solitons [PDF]
The Journal of Geometric Analysis, 2023 In this paper, we prove some rigidity results for both shrinking and expanding Ricci solitons. First, we prove that compact shrinking Ricci solitons are Einstein if we control the maximum value of the potential function. Then, we prove some rigidity results for non-compact gradient expanding and shrinking Ricci solitons with pinched Ricci and scalar ...
Leandro, B., Poveda, J.
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Some Rigidity Results on Complete Finsler Manifolds [PDF]
, 2020 arXiv admin note: substantial text overlap with arXiv:0711 ...
R. Dehkordi, Hengameh, Asanjarani, Azam
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Macrophages bend long fibres with flexural rigidity lower than 3 mN·nm2 to avoid frustrated phagocytosis [PDF]
Particle and Fibre ToxicologyBackground It is an established toxicological principle that the inhalation pathogenicity of respirable and biodurable fibres is caused by excessive fibre length as alveolar macrophages fail to uptake and remove such fibres.
Dirk Broßell +6 more
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Mean Curvature Rigidity and Non-rigidity Results on Spherical Caps [PDF]
, 2022 21 pages, 12 figures, comments ...
Chen, Shibing +2 more
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