scholarly journals Inequalities for the lowest magnetic Neumann eigenvalue

2019 ◽  
Vol 109 (7) ◽  
pp. 1683-1700 ◽  
Author(s):  
S. Fournais ◽  
B. Helffer
Keyword(s):  
Neumann Eigenvalue

Dirichlet and Neumann eigenvalue problems on CR manifolds

2018 ◽  
Vol 67 (2) ◽  
pp. 285-320 ◽  
Author(s):  
Amine Aribi ◽  
Sorin Dragomir
Keyword(s):  
Eigenvalue Problems ◽  
Cr Manifolds ◽  
Neumann Eigenvalue

scholarly journals Critical Domains for the First Nonzero Neumann Eigenvalue in Riemannian Manifolds

2018 ◽  
Vol 29 (4) ◽  
pp. 3221-3247
Author(s):  
Mouhamed Moustapha Fall ◽  
Tobias Weth
Keyword(s):  
Riemannian Manifolds ◽  
Neumann Eigenvalue

The neumann eigenvalue problem

1973 ◽  
Vol 3 (3) ◽  
pp. 213-240 ◽  
Author(s):  
Gaetano Fichera
Keyword(s):  
Eigenvalue Problem ◽  
Neumann Eigenvalue

scholarly journals Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps

2005 ◽  
Vol 16 (2) ◽  
pp. 161-200 ◽  
Author(s):  
T. KOLOKOLNIKOV ◽  
M. S. TITCOMBE ◽  
M. J. WARD
Keyword(s):  
Neumann Eigenvalue

scholarly journals Optimal lower bounds for eigenvalues of linear and nonlinear Neumann problems

2015 ◽  
Vol 145 (1) ◽  
pp. 31-45 ◽  
Author(s):  
Barbara Brandolini ◽  
Francesco Chiacchio ◽  
Cristina Trombetti
Keyword(s):  
Neumann Problems ◽  
Convexity Assumption ◽  
Planar Domains ◽  
Isoperimetric Constant ◽  
Linear And Nonlinear ◽  
Neumann Eigenvalue ◽  
The One ◽  
Nonlinear Neumann Problems ◽  
Sharp Lower Bound ◽  
Better Than

In this paper we prove a sharp lower bound for the first non-trivial Neumann eigenvalue μ1(Ω) for the p-Laplace operator (p > 1) in a Lipschitz bounded domain Ω in ℝn. Our estimate does not require any convexity assumption on Ω and it involves the best isoperimetric constant relative to Ω. In a suitable class of convex planar domains, our bound turns out to be better than the one provided by the Payne—Weinberger inequality.

Spectral asymptotics for Krein–Feller operators with respect to 𝑉-variable Cantor measures

2020 ◽  
Vol 32 (1) ◽  
pp. 121-138
Author(s):  
Lenon Alexander Minorics
Keyword(s):  
Borel Measure ◽  
Differential Operators ◽  
Counting Function ◽  
Second Order ◽  
Spectral Asymptotics ◽  
Compact Interval ◽  
Limiting Behavior ◽  
Convergence Behavior ◽  
Neumann Eigenvalue

AbstractWe study the limiting behavior of the Dirichlet and Neumann eigenvalue counting function of generalized second-order differential operators {\frac{\mathop{}\!d}{\mathop{}\!d\mu}\frac{\mathop{}\!d}{\mathop{}\!dx}}, where μ is a finite atomless Borel measure on some compact interval {[a,b]}. Therefore, we firstly recall the results of the spectral asymptotics for these operators received so far. Afterwards, we make a proposition about the convergence behavior for so-called random V-variable Cantor measures.

Sign in / Sign up

Export Citation Format

Share Document