Results 51 to 60 of about 486 (190)
Dirichlet eigenvalues of cones in the small aperture limit
, 2013 We are interested in finite cones of fixed height 1 parametrized by their opening angle. We study the eigenpairs of the Dirichlet Laplacian in such domains when their apertures tend to 0.
Thomas Ourmieres-Bonafos +1 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14244-14265, August 2026.ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
wiley +1 more source
A note on the generalized dumbbell problem
, 1995 This note is devoted to the calculation of the asymptotics of the small eigenvalues and corresponding eigenfunctions for the Laplace operator with Neumann boundary conditions on a domain obtained by adding several thin channels between given bounded ...
Colette Anné
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Sturm-Liouville problems with retarded argument and a finite number of transmission conditions
Electronic Journal of Differential Equations, 2017 The main goal of the present paper is to study the asymptotic behaviour of eigenvalues and eigenfunctions of a discontinuous boundary-value problem with retarded argument with a finite number of transmission conditions.
Erdogan Sen
doaj
Asymptotic formulas for eigenvalues and eigenfunctions of boundary value problem
, 2013 In this paper we are concerned with a new class of BVP' s consisting of eigendependent boundary conditions and two supplementary transmission conditions at one interior point. By modifying some techniques of classical Sturm-Liouville theory and suggesting own approaches we find asymptotic formulas for the eigenvalues and eigenfunction.
Mukhtarov, O. Sh., Aydemir, K.
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Accurate Asymptotic Formulas for Eigenvalues and Eigenfunctions of a Boundary-Value Problem of Fourth Order [PDF]
Boundary Value Problems, 2010 Accurate asymptotic formulas are obtained for the eigenvalues and eigenfunctions of the nonself-adjoint fourth-order periodic boundary value problem \[ \begin{aligned} &u^{(4)}(t)+q(x)y=\lambda y, \quad 0\leq x\leq \pi,\\ &y^{(j)}(0)-y^{(j)}(\pi)=0,\quad j=0, 1, 2, 3, \end{aligned} \] where \(q(x)\) is a complex valued function satisfying \(\int_0^{\pi}
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
Studies in Applied Mathematics, Volume 157, Issue 2, August 2026.ABSTRACT We consider the extended Korteweg–de Vries (eKdV) equation as a model for long moderately nonlinear surface water waves and use it to describe the evolution of initial conditions generating solitary waves with and without significant dispersive radiation, as well as cases of pure dispersive radiation without any solitary waves.
Benjamin Martin +2 more
wiley +1 more source
Asymptotics for the Spectrum of a Thin Film Equation in a Singular Limit
, 2012 In this paper the linear stability properties of the steady states of a no-slip lubrication equation are studied. In the physical context, these steady states correspond to configurations of droplets that arise during the late-phase dewetting process ...
Kitavtsev, Georgy +2 more
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Low eigenvalues of the p$p$–Laplacian in general open sets
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We consider the minmax Ljusternik–Schnirelmann levels of the constrained p$p$–Dirichlet integral on a general open set of the Euclidean space. We show that, whenever one of these levels lies below the threshold given by the Lp$L^p$ Poincaré constant “at infinity,” it actually defines an eigenvalue of the Dirichlet p$p$–Laplacian. We also prove
Lorenzo Brasco +2 more
wiley +1 more source