Results 21 to 30 of about 1,115 (71)

Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary II

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
We present some estimate of the Laplacian Spectrum and of Topological Invariants for Riemannian manifold with pinched sectional curvature and with non-empty and non-convex boundary with finite injectivity radius. These estimates do not depend directly on
Sabatini Luca
doaj   +1 more source

Front instability in a condensed phase combustion model

open access: yesAdvances in Nonlinear Analysis, 2015
We consider a condensed phase (or solid) combustion model and its linearization around the travelling front solution. We construct an Evans function to characterize the eigenvalues of the linearized problem.
Bonnet Alexis   +2 more
doaj   +1 more source

Spectral gap of segments of periodic waveguides

open access: yes, 2006
We consider a periodic strip in the plane and the associated quantum waveguide with Dirichlet boundary conditions. We analyse finite segments of the waveguide consisting of $L$ periodicity cells, equipped with periodic boundary conditions at the ``new ...
D. Borisov   +6 more
core   +2 more sources

The Asymptotic Behaviour of the First Eigenvalue of Linear Second-Order Elliptic Equations in Divergente Form [PDF]

open access: yes, 2007
2000 Mathematics Subject Classification: 35J70, 35P15.The asymptotic of the first eigenvalue for linear second order elliptic equations in divergence form with large drift is studied.
Fabricant, Alexander   +2 more
core  

A lower bound for the nodal sets of Steklov eigenfunctions

open access: yes, 2015
We consider the lower bound of nodal sets of Steklov eigenfunctions on smooth Riemannian manifolds with boundary--the eigenfunctions of the Dirichlet-to-Neumann map. Let $N_\lambda$ be its nodal set.
Wang, Xing, Zhu, Jiuyi
core   +1 more source

A covering approach to eigenvalue bounds for the fractional p-Laplacian

open access: yesDemonstratio Mathematica
We study Weyl-type lower bounds for the variational eigenvalues associated with a weighted fractional p-Laplacian on bounded domains with Lipschitz boundary in a critical (limit) case.
Hasanov Mahir
doaj   +1 more source

Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations

open access: yesAdvances in Nonlinear Analysis, 2016
This paper is concerned with a general class of quasilinear anisotropic equations. We first derive some maximum principles for two appropriate P-functions, in the sense of Payne (see the book of Sperb [18]).
Barbu Luminita, Enache Cristian
doaj   +1 more source

On the bottom of spectra under coverings

open access: yes, 2017
For a Riemannian covering $M_1\to M_0$ of complete Riemannian manifolds with boundary (possibly empty) and respective fundamental groups $\Gamma_1\subseteq\Gamma_0$, we show that the bottoms of the spectra of $M_0$ and $M_1$ coincide if the right action ...
Ballmann, Werner   +2 more
core   +1 more source

Eigenvalue estimates for the higher order buckling problem [PDF]

open access: yes, 2016
In this paper, we consider lower order eigenvalues of Laplacian operator with any order in Euclidean domains. By choosing special rectangular coordinates, we obtain two estimates for lower order eigenvalues.Comment: This article has an ...
Huang, Guangyue, Li, Xingxiao
core  

A Spectral Gap Estimate and Applications

open access: yes, 2017
We consider the Schr\"odinger operator $$-\frac{d^2}{d x^2} + V \qquad \mbox{on an interval}~~[a,b]~\mbox{with Dirichlet boundary conditions},$$ where $V$ is bounded from below and prove a lower bound on the first eigenvalue $\lambda_1$ in terms of ...
Georgiev, Bogdan   +2 more
core   +1 more source

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