18 résultats avec le mot-clé: 'extremal domains eigenvalue laplace beltrami operator'
Druet [1] has proved that for small volumes (i.e. τ > 0 small), the solutions of the isoperimetric problem are close (in a sense to be made precise) to geodesic spheres of
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Such new domains have small volume and are close to geodesic balls centered at a nondegenerate critical point of the scalar curvature of the manifold (the existence of at least
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Sicbaldi in [16], a new phenomena appears: there are two types of extremal domains, those that are the complement of a small perturbed geodesic ball centered at a nondegenerate
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New examples of domains with small prescribed volume that are critical points for the first eigenvalue of the Dirichlet Laplace-Beltrami operator are built in [28], under the
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New examples of domains with small prescribed volume that are critical points for the first eigenvalue of the Dirichlet Laplace-Beltrami operator are built in [28], under the
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volume |Ω| and such that R ∂Ω (x − x ∂Ω )dσ = 0 is in fact valid as well... However, we are interested in this work, in studying low order eigenvalues and more precisely
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volume |Ω| and such that R ∂Ω (x − x ∂Ω )dσ = 0 is in fact valid as well... However, we are interested in this work, in studying low order eigenvalues and more precisely
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Natural shoreline This sub-factor measures the extent of undevel- oped shoreline impacted (transitional habitat be- tween terrestrial and wetland); crossings that im- pact
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Keywords: Shape optimization, Laplace-Beltrami operator, first eigenvalue, regularity of free boundaries, Rieman- nian manifold, Faber-Krahn profile, isoperimetric problems.. MCS
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Beltrami operator on digital surfaces which satisfies strong consistency (i.e. pointwise convergence) with respect to the Laplace–Beltrami operator on the underlying manifold when
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Indeed, theoretical analysis on 2D curves shows that one cannot expect convergence of the dicretized Laplacian using exterior calculus toward the real Laplace-Beltrami on Rie-
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In all of these cases, the corresponding classical system has a set of initial conditions with non-zero measure for which the orbits are bounded but to which no
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Its various discretizations, through graph Laplacians, have inspired many applications in data analysis and machine learning and led to popular tools such as Laplacian EigenMaps
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• Incremental stimulation avoids any significant motor Incremental stimulation avoids any significant motor unit selection bias.. unit
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Related works The Laplace-Beltrami operator being a second order differential operator (divergence of the function gradient, see Sect. 2), a discrete calculus framework is required
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Bounded extremal problems in Hardy spaces for the conjugate Beltrami equation in simply-connected domains... Partington † , Eva
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