Results 11 to 20 of about 423 (38)
Eigenfrequencies of generally restrained beams
Journal of Applied Mathematics, Volume 2003, Issue 10, Page 503-516, 2003., 2003 We deal with the exact determination of eigenfrequencies of a beam with intermediate elastic constraints and generally restrained ends. It is the purpose of this paper to use the calculus of variations to obtain the equations of motion and the natural boundary conditions, and particularly those at the intermediate constraints.
Ricardo Oscar Grossi +1 more
wiley +1 more source
Spectrum perturbations of compact operators in a Banach space
Open Mathematics, 2019 For an integer p ≥ 1, let Γp be an approximative quasi-normed ideal of compact operators in a Banach space with a quasi-norm NΓp(.) and the ...
Gil’ Michael
doaj +1 more source
Worst-case shape optimization for the Dirichlet energy [PDF]
, 2016 We consider the optimization problem for a shape cost functional $F(\Omega,f)$ which depends on a domain $\Omega$ varying in a suitable admissible class and on a "right-hand side" $f$. More precisely, the cost functional $F$ is given by an integral which
Bellido, José Carlos +2 more
core +3 more sources
Minimization of $\lambda_2(\Omega)$ with a perimeter constraint [PDF]
, 2009 We study the problem of minimizing the second Dirichlet eigenvalue for the Laplacian operator among sets of given perimeter. In two dimensions, we prove that the optimum exists, is convex, regular, and its boundary contains exactly two points where the ...
Bucur, Dorin +2 more
core +4 more sources
The "hot spots" conjecture on the Vicsek set
Demonstratio Mathematica, 2019 We prove the “hot spots” conjecture on the Vicsek set. Specifically, we will show that every eigenfunction of the second smallest eigenvalue of the Neumann Laplacian on the Vicsek set attains its maximum and minimum on the boundary.
Ionescu Marius, Savage Thomas L.
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A Spectral Gap Estimate and Applications
, 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
Multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations
Nonautonomous Dynamical Systems, 2018 In this article, we prove the existence and multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations. We are interested in the existence of three solutions with the aid of linking arguments and using a three critical points ...
Ouaro Stanislas, Zoungrana Malick
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The Diagonalizable Nonnegative Inverse Eigenvalue Problem
Special Matrices, 2018 In this articlewe provide some lists of real numberswhich can be realized as the spectra of nonnegative diagonalizable matrices but which are not the spectra of nonnegative symmetric matrices.
Cronin Anthony G, Laffey Thomas J.
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A pathological example in nonlinear spectral theory
Advances in Nonlinear Analysis, 2017 We construct an open set Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} on which an eigenvalue problem for the p-Laplacian has no isolated first eigenvalue and the spectrum is not discrete.
Brasco Lorenzo, Franzina Giovanni
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Advanced Nonlinear StudiesThe 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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