Results 61 to 70 of about 486 (190)
The role of the curvature of a surface in the shape of the solutions to elliptic equations
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract We prove the uniqueness and nondegeneracy of the critical point of positive, semistable solutions of −Δu=f(u)$-\Delta u=f(u)$ with Dirichlet boundary conditions for a class of star‐shaped domains on the sphere and in the hyperbolic plane satisfying a geometric condition.
Francesca Gladiali +2 more
wiley +1 more source
, 2001 Linked equations -(piyi')'+qiyi = ∑2j=1 λjrijyi, i = 1, 2, are studied on [0,1] subject to boundary conditions of the form yi(0)cosΑi = (piyi')(0)sinΑi, (aiλi + bi)yi(1) = (ciλi + di)(piyi')(1).
Binding, P. A. +2 more
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Engineering Reports, Volume 8, Issue 6, June 2026.Graphical abstract of the (q,τ)$$ \left(q,\tau \right) $$‐deformed kernel framework for quantum‐inspired learning and biomedical signal analysis ABSTRACT This paper introduces a weighted (q,τ)$$ \left(q,\tau \right) $$‐deformed Gram matrix framework for quantum‐inspired learning systems, with particular emphasis on applications in biomedical signal ...
Rabha W. Ibrahim +2 more
wiley +1 more source
Sharp behavior of Dirichlet--Laplacian eigenvalues for a class of singularly perturbed problems [PDF]
, 2023 We deepen the study of Dirichlet eigenvalues in bounded domains where a thin tube is attached to the boundary. As its section shrinks to a point, the problem is spectrally stable and we quantitatively investigate the rate of convergence of the perturbed ...
Ognibene, Roberto, Abatangelo, Laura
core
Spreading Speed for a Vector‐Borne Disease System on Non‐Coincident Straight Infinite Cylinders
Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.ABSTRACT Vector‐borne diseases remain an increasing global public health concern. In this work, we investigate the spreading speed of vector‐borne disease via a four‐component reaction–diffusion system posed on non‐coincident straight infinite cylinders, which stands for an unconventional spatial configuration.
Arnaud Ducrot +2 more
wiley +1 more source
Sharp estimates for the Laplacian torsional rigidity with negative Robin boundary conditions
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract Motivated by pioneering works of Bandle and Wagner, given a bounded Lipschitz domain Ω⊂Rd$\Omega \subset \mathbb {R}^d$ with d⩾3$d\geqslant 3$, we consider the Robin–Laplacian torsional rigidity τα(Ω)$\tau _\alpha (\Omega)$ with negative boundary parameter α$\alpha$ and we show that sharp inequalities for τα(Ω)$\tau _\alpha (\Omega)$ hold if ...
Nunzia Gavitone +2 more
wiley +1 more source
Asymptotic behavior of eigenfunctions and eigenvalues for ergodic and periodic systems
Tohoku Mathematical Publications, 1999 The purpose of this article is to study the influence of dynamical behavior of classical Hamilton systems with ergodic and periodic properties on asymptotic behavior of eigenfunctions and eigenvalues of the corresponding positive elliptic operator on a compact Riemannian manifold, and conversely, to investigate the asymptotic properties of ...
openaire +2 more sources
Asymptotics for the spectrum of a thin film equation in a singular limit [PDF]
, 2010 In this paper the linear stability properties of the steady states of a no-slip lubrication equation are studied. The steady states are configurations of droplets and arise during the late-phase dewetting process under the influence of both destabilizing
Kitavtsev, Georgy +2 more
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Advances in Pure Mathematics, 2019 Asymptotic eigenvalues and eigenfunctions for the Orr-Sommerfeld equation in two and three dimensional incompressible flows on an infinite domain and on a semi-infinite domain are obtained. Two configurations are considered, one in which a short-wave limit approximation is used, and another in which a long-wave limit approximation is used. In the short-
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The Annals of Probability, 1997 The authors consider operators, which are the sum of the generator of \(X_t\), a diffusion process in \(\mathbb{R}^n\) with small noise and a potential function \(l\). The process \(X_t\) satisfies a stochastic differential equation of the form \(dX_t= g(X_t)dt +\varepsilon^{1/2} dB_t\), where \(B_t\) is an \(n\)-dimensional Brownian motion and \(g ...
Fleming, Wendell H., Sheu, Shuenn-Jyi
openaire +3 more sources