Results 21 to 30 of about 447 (58)

Principal spectral theory and asymptotic behavior of the spectral bound for partially degenerate nonlocal dispersal systems

Advanced Nonlinear Studies
The purpose of this paper is to investigate the principal spectral theory and asymptotic behavior of the spectral bound for cooperative nonlocal dispersal systems, specifically focusing on the case where partial diffusion coefficients are zero, referred ...
Zhang Lei
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Symmetrization for Mixed Operators

Annales Mathematicae Silesianae
In this paper, we prove Talenti's comparison theorem for mixed local/nonlocal elliptic operators and derive the Faber–Krahn inequality for the first eigenvalue of the Dirichlet mixed local/nonlocal problem. Our findings are relevant to the fractional p&q–
Bahrouni Sabri
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Asymptotics of Hadamard Type for Eigenvalues of the Neumann Problem on $C^1$-domains for Elliptic Operators

, 2014
This article investigates how the eigenvalues of the Neumann problem for an elliptic operator depend on the domain in the case when the domains involved are of class $C^1$.
Thim, Johan
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A family of anisotropic integral operators and behaviour of its maximal eigenvalue

, 2011
We study the family of compact integral operators $\mathbf K_\beta$ in $L^2(\mathbb R)$ with the kernel K_\beta(x, y) = \frac{1}{\pi}\frac{1}{1 + (x-y)^2 + \beta^2\Theta(x, y)}, depending on the parameter $\beta >0$, where $\Theta(x, y)$ is a symmetric ...
Mityagin, B. S, Sobolev, A. V.
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On eigenfunction approximations for typical non-self-adjoint Schroedinger operators

, 1999
We construct efficient approximations for the eigenfunctions of non-self-adjoint Schroedinger operators in one dimension. The same ideas also apply to the study of resonances of self-adjoint Schroedinger operators which have dilation analytic potentials.
A. Aslanyan, E. B. Davies, Fedotov A., Lahmar-Benbernou A.   +3 more
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On the solvability of discrete nonlinear Neumann problems involving the p(x)-Laplacian

Advances in Difference Equations, 2011
In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
Ouaro Stanislas, Guiro Aboudramane, Nyanquini Ismael   +2 more
doaj  

New bounds on the Lieb-Thirring constants

, 1999
Improved estimates on the constants $L_{\gamma,d}$, for $1 ...
Hundertmark, D., Laptev, A., Weidl, T.
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On the point spectrum of some perturbed differential operators with periodic coefficients [PDF]

, 2007
Finiteness of the point spectrum of linear operators acting in a Banach space is investigated from point of view of perturbation theory. In the first part of the paper we present an abstract result based on analytical continuation of the resolvent ...
Cialenco, Igor
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On the remainder term of the Berezin inequality on a convex domain

, 2016
We study the Dirichlet eigenvalues of the Laplacian on a convex domain in $\mathbb{R}^n$, with $n\geq 2$. In particular, we generalize and improve upper bounds for the Riesz means of order $\sigma\geq 3/2$ established in an article by Geisinger, Laptev ...
Larson, Simon
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An eigenvalue estimate and its application to non-selfadjoint Jacobi and Schr\"odinger operators

, 2010
For bounded linear operators $A,B$ on a Hilbert space $\mathcal{H}$ we show the validity of the estimate $$ \sum_{\lambda \in \sigma_d (B)} \dist(\lambda, \overline{\num}(A))^p \leq \| B-A \|_{\mathcal{S}_p}^p$$ and apply it to recover and improve some ...
Hansmann, Marcel
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