The principal eigenvalue of the ∞-Laplacian   with the Neumann boundary condition

Stefania Patrizi

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Displaying similar documents to “The principal eigenvalue of the ∞-Laplacian with the Neumann boundary condition”

The principal eigenvalue of the ∞-Laplacian with the Neumann boundary condition

Stefania Patrizi (2011)

ESAIM: Control, Optimisation and Calculus of Variations

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We prove the existence of a principal eigenvalue associated to the ∞-Laplacian plus lower order terms and the Neumann boundary condition in a bounded smooth domain. As an application we get uniqueness and existence results for the Neumann problem and a decay estimate for viscosity solutions of the Neumann evolution problem.

Lyapunov inequalities for Neumann boundary conditions at higher eigenvalues

Antonio Cañada, S. Villegas (2010)

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On the Neumann problem with combined nonlinearities

Jan Chabrowski, Jianfu Yang (2005)

Annales Polonici Mathematici

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We establish the existence of multiple solutions of an asymptotically linear Neumann problem. These solutions are obtained via the mountain-pass principle and a local minimization.

Multiplicity of positive solutions to second order differential equations with Neumann boundary conditions

Jifeng Chu, Daqing Jiang, Donal O&#039;Regan, R. P. Agarwal (2005)

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We study the existence of positive solutions to second order nonlinear differential equations with Neumann boundary conditions. The proof relies on a fixed point theorem in cones, and the positivity of Green's function plays a crucial role in our study.

On the Neumann problem with L¹ data

J. Chabrowski (2007)

Colloquium Mathematicae

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We investigate the solvability of the linear Neumann problem (1.1) with L¹ data. The results are applied to obtain existence theorems for a semilinear Neumann problem.

The von Neumann minimax theorem revisited

Hichem Ben-El-Mechaiekh, Robert Dimand (2007)

Banach Center Publications

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Fractals, trees and the Neumann Laplacian.

W.D. Evans, D.J. Harris (1993)

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An Elliptic Neumann Problem with Subcritical Nonlinearity

Jan Chabrowski, Kyril Tintarev (2005)

Bulletin of the Polish Academy of Sciences. Mathematics

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We establish the existence of a solution to the Neumann problem in the half-space with a subcritical nonlinearity on the boundary. Solutions are obtained through the constrained minimization or minimax. The existence of solutions depends on the shape of a boundary coefficient.

On Positive Solutions of a Linear Elliptic Eigenvalue Problem with Neumann Boundary Conditions.

Peter Hess, Stefan Senn (1981)

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Von Neumann models and the oeuvre of Jerzy Łoś

Otto Moeschlin (2006)

Banach Center Publications

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Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian

Kei Funano (2016)

Analysis and Geometry in Metric Spaces

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We apply Gromov’s ham sandwich method to get: (1) domain monotonicity (up to a multiplicative constant factor); (2) reverse domain monotonicity (up to a multiplicative constant factor); and (3) universal inequalities for Neumann eigenvalues of the Laplacian on bounded convex domains in Euclidean space.

Modification of the alternating direction implicit method and connections with von Neumann's method

H. Woźniakowski (1971)

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Small eigenvalues of the Neumann realization of the semiclassical Witten Laplacian

D. Le Peutrec (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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This article follows the previous works [HeKlNi, HeNi] by Helffer-Klein-Nier and Helffer-Nier about the metastability in reversible diffusion processes via a Witten complex approach. Again, exponentially small eigenvalues of some self-adjoint realization of $Δ_{f, h}^{(0)} = - h^{2} Δ + {|\nabla f (x)|}^{2} - h Δ f (x)$ are considered as the small parameter $h > 0$ tends to $0$ . The function $f$ is assumed to be a Morse function on some bounded domain $Ω$ with boundary $\partial Ω$ . Neumann type boundary conditions are considered. With these boundary conditions, some...

Commutants of von Neumann correspondences and duality of Eilenberg-Watts theorems by Rieffel and by Blecher

Michael Skeide (2006)

Banach Center Publications

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The category of von Neumann correspondences from 𝓑 to 𝓒 (or von Neumann 𝓑-𝓒-modules) is dual to the category of von Neumann correspondences from 𝓒' to 𝓑' via a functor that generalizes naturally the functor that sends a von Neumann algebra to its commutant and back. We show that under this duality, called commutant, Rieffel's Eilenberg-Watts theorem (on functors between the categories of representations of two von Neumann algebras) switches into Blecher's Eilenberg-Watts theorem...