Results 61 to 70 of about 43,034 (224)
Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang +2 more
wiley +1 more source
Three-point correlations for quantum star graphs
, 2007 We compute the three point correlation function for the eigenvalues of the Laplacian on quantum star graphs in the limit where the number of edges tends to infinity.
Berkolaiko G +8 more
core +2 more sources
Kleinian Groups, Laplacian on Forms and Currents at Infinity [PDF]
Proceedings of the American Mathematical Society, 1990 The aim of this paper is to relate the spectrum of the Laplacian acting on the space of co-closed differential forms on the quotient of n- dimensional hyperbolic space by a co-compact Kleinian group, to currents on the sphere at infinity of hyperbolic space with distinctive transformation properties under the action of the group.
openaire +1 more source
Distributed Optimization of Finite Condition Number for Laplacian Matrix in Multi‐Agent Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper addresses the distributed optimization of the finite condition number of the Laplacian matrix in multi‐agent systems. The finite condition number, defined as the ratio of the largest to the second smallest eigenvalue of the Laplacian matrix, plays an important role in determining the convergence rate and performance of consensus ...
Yicheng Xu, Faryar Jabbari
wiley +1 more source
On a new fractional Sobolev space with variable exponent on complete manifolds
Boundary Value Problems, 2022 We present the theory of a new fractional Sobolev space in complete manifolds with variable exponent. As a result, we investigate some of our new space’s qualitative properties, such as completeness, reflexivity, separability, and density.
Ahmed Aberqi +3 more
doaj +1 more source
, 2018 In this paper, we consider the eigen-solutions of $-\Delta u+ Vu=\lambda u$, where $\Delta$ is the Laplacian on a non-compact complete Riemannian manifold.
Liu, Wencai
core +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In privacy protection of control systems, a trade‐off between control performance and privacy level is often pointed out. Our goal in this paper is to improve this trade‐off by shaping the frequency of noise added for privacy protection when the control objective is to track a reference signal, which is taken as a piece of information whose ...
Rintaro Watanabe +3 more
wiley +1 more source
Robin problems with a general potential and a superlinear reaction
, 2019 We consider semilinear Robin problems driven by the negative Laplacian plus an indefinite potential and with a superlinear reaction term which need not satisfy the Ambrosetti-Rabinowitz condition.
Papageorgiou, Nikolaos S. +2 more
core +2 more sources
Initial State Privacy of Nonlinear Systems on Riemannian Manifolds
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley +1 more source
Semiclassical Resonances of Schr\"odinger operators as zeroes of regularized determinants
, 2008 We prove that the resonances of long range perturbations of the (semiclassical) Laplacian are the zeroes of natural perturbation determinants. We more precisely obtain factorizations of these determinants of the form $ \prod_{w = {\rm resonances}}(z-w ...
Bouclet, Jean-Marc, Bruneau, Vincent
core +6 more sources