A Note on the First Nonzero Eigenvalue of the Laplacian Acting of P-Forms.
Gilles Courtois, Bruno Colbois (1990)
Manuscripta mathematica
Similarity:
Displaying similar documents to “On a lower bound of the second eigenvalue of the Laplacian on an Einstein space”
A Note on the First Nonzero Eigenvalue of the Laplacian Acting of P-Forms.
Equality in Wielandt’s eigenvalue inequality
Shmuel Friedland (2015)
Special Matrices
Similarity:
In this paper we give necessary and sufficient conditions for the equality case in Wielandt’s eigenvalue inequality.
Dependence of a differential equation on the first eigenvalue of a suitable problem
Jan Bochenek (1980)
Annales Polonici Mathematici
Similarity:
Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string
Behrouz Emamizadeh, Amin Farjudian (2014)
Nonautonomous Dynamical Systems
Similarity:
In this paper we consider a parametric eigenvalue problem related to a vibrating string which is constructed out of two different materials. Using elementary analysis we show that the corresponding principal eigenvalue is increasing with respect to the parameter. Using a rearrangement technique we recapture a part of our main result, in case the difference between the densities of the two materials is sufficiently small. Finally, a simple numerical algorithm will be presented which will...
An integro-differential inequality related to the smallest positive eigenvalue ofp(x)-Laplacian Dirichlet problem
Damian Wiśniewski, Mariusz Bodzioch (2016)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Similarity:
We consider the eigenvalue problem for the p(x)-Laplace-Beltrami operator on the unit sphere. We prove same integro-differential inequalities related to the smallest positive eigenvalue of this problem.
A nonlinear eigenvalue problem with indefinite weights related to the Sobolev trace embedding.
Julián Fernández Bonder, Julio D. Rossi (2002)
Publicacions Matemàtiques
Similarity:
In this paper we study the Sobolev trace embedding W(Ω) → L (∂Ω), where V is an indefinite weight. This embedding leads to a nonlinear eigenvalue problem where the eigenvalue appears at the (nonlinear) boundary condition. We prove that there exists a sequence of variational eigenvalues λ / +∞ and then show that the first eigenvalue is isolated, simple and monotone with respect to the weight. Then we prove a nonexistence result related to the first eigenvalue and we end...
A lower bound for the least eigenvalue of ... + V.
Pierre Bérard (1990)
Manuscripta mathematica
Similarity:
On some properties of eigenvalues and eigenfunctions of certain differential equations of the fourth order
Jan Bochenek (1971)
Annales Polonici Mathematici
Similarity:
Note on a paper of E. M. E. Zayed and S. F. M. Ibraham.
Eberhard, W., Freiling, G., Schneider, A. (1992)
International Journal of Mathematics and Mathematical Sciences
Similarity:
New bounds for the minimum eigenvalue of 𝓜-tensors
Jianxing Zhao, Caili Sang (2017)
Open Mathematics
Similarity:
A new lower bound and a new upper bound for the minimum eigenvalue of an 𝓜-tensor are obtained. It is proved that the new lower and upper bounds improve the corresponding bounds provided by He and Huang (J. Inequal. Appl., 2014, 2014, 114) and Zhao and Sang (J. Inequal. Appl., 2016, 2016, 268). Finally, two numerical examples are given to verify the theoretical results.
Existence of multiple principal eigenvalues for some indefinite linear eigenvalue problems
J. Fleckinger, J. Hernández, F. Thélin (2004)
Bollettino dell'Unione Matematica Italiana
Similarity:
We study the existence of principal eigenvalues for differential operators of second order which are not necessarily in divergence form. We obtain results concerning multiplicity of principal eigenvalues in both the variational and the general case. Our approach uses systematically the Krein-Rutman theorem and fixed point arguments for the spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case.
Metrics of Positive Ricci Curvature with Large Diameter.
Michael T. Anderson (1990)
Manuscripta mathematica
Similarity:
A minorization of the first positive eigenvalue of the scalar laplacian on a compact Riemannian manifold
Jacek Komorowski
Similarity:
CONTENTSIntroduction.......................................................................................................... 51. A parametrix of tho laplacian................................................................................ 72. An estimation of the differential of an eigenfunction of the laplacian......... 163. A normal chart on a neighbourhood of a geodesic........................................ 274. Minorization of the first positive eigenvalue of the laplacian............................