Results 81 to 90 of about 31,295 (230)

Next Generation Modeling of Glioblastoma Progression: Diffusing Through Time and Brain

Annalen der Physik, EarlyView.
Glioblastoma (GBM) is a fatal brain tumor that will inevitably recur following surgical resection. Early mathematical tumor growth models used the reaction‐diffusion equation to describe the proliferation and invasion of tumor spread. However, with increasingly advanced neuroimaging technology, diffusion tensor imaging data has more recently been ...
Francesca M. Cozzi, Yizhou Wan, Swati Jain, Curtis Holliman, Roxanne C. Mayrand, Stephen J. Price   +5 more
wiley   +1 more source

Multiplicity solutions for a class of p-Laplacian fractional differential equations via variational methods

Open Mathematics, 2022
While it is known that one can consider the existence of solutions to boundary-value problems for fractional differential equations with derivative terms, the situations for the multiplicity of weak solutions for the p-Laplacian fractional differential ...
Chen Yiru, Gu Haibo
doaj   +1 more source

Accurate numerical methods for two and three dimensional integral fractional Laplacian with applications

, 2019
In this paper, we propose accurate and efficient finite difference methods to discretize the two- and three-dimensional fractional Laplacian $(-\Delta)^{\frac{\alpha}{2}}$ ($0 < \alpha < 2$) in hypersingular integral form.
Duo, Siwei, Zhang, Yanzhi
core   +1 more source

Critical System Size for the Recovery of Topological Zero Modes in Finite Non‐Hermitian Systems

Annalen der Physik, EarlyView.
A generalized non‐Hermitian SSH model on a topolectrical circuit reveals size‐dependent topological zero modes. Non‐Hermiticity enables exact zero‐admittance edge states at a critical system size, tunable via asymmetric coupling and gain/loss. Large impedance peaks signal these modes, offering insights for designing robust topological devices with ...
S M Rafi‐Ul‐Islam, Zhuo Bin Siu, Md. Saddam Hossain Razo, Mansoor B.A. Jalil   +3 more
wiley   +1 more source

Singular Continuous Spectrum for the Laplacian on Certain Sparse Trees

, 2006
We present examples of rooted tree graphs for which the Laplacian has singular continuous spectral measures. For some of these examples we further establish fractional Hausdorff dimensions.
B. Simon, B. Simon, B. Simon, C. Allard, D.B. Pearson, F. Gesztesy, H. Bass, Jonathan Breuer, M. Solomyak, R.V. Romanov, S. Jitomirskaya, S. Tcheremchantsev, Y. Last   +12 more
core   +1 more source

On fractional powers of singular perturbations of the Laplacian [PDF]

Journal of Functional Analysis, 2018
We qualify a relevant range of fractional powers of the so-called Hamiltonian of point interaction in three dimensions, namely the singular perturbation of the negative Laplacian with a contact interaction supported at the origin. In particular we provide an explicit control of the domain of such a fractional operator and of its decomposition into ...
Vladimir Georgiev, Vladimir Georgiev, Raffaele Scandone, Alessandro Michelangeli   +3 more
openaire   +5 more sources

Non-Nehari Manifold Method for Fractional p-Laplacian Equation with a Sign-Changing Nonlinearity

Journal of Function Spaces, 2018
We consider the following fractional p-Laplacian equation: -Δpαu+V(x)up-2u=f(x,u)-Γ(x)uq-2u,  x∈RN, where N≥2, pα⁎>q>p≥2, α∈(0,1), -Δpα is the fractional p-Laplacian, and Γ∈L∞(RN) and Γ(x)≥0 for a.e. x∈RN. f has the subcritical growth but higher than Γ(x)
Huxiao Luo, Shengjun Li, Wenfeng He
doaj   +1 more source

Weyl-type laws for fractional p-eigenvalue problems

, 2014
We prove an asymptotic estimate for the growth of variational eigenvalues of fractional p-Laplacian eigenvalue problems on a smooth bounded domain.Comment: 10 ...
Iannizzotto, Antonio, Squassina, Marco
core   +1 more source

Uniqueness of Radial Solutions for the Fractional Laplacian [PDF]

Communications on Pure and Applied Mathematics, 2015
AbstractWe prove general uniqueness results for radial solutions of linear and nonlinear equations involving the fractional Laplacian (−Δ)s with s ∊ (0,1) for any space dimensions N ≥ 1. By extending a monotonicity formula found by Cabré and Sire , we show that the linear equation urn:x-wiley:00103640:media:cpa21591:cpa21591-math-0001 has at most one
Frank, Rupert L., Lenzmann, Enno, Silvestre, Luis   +2 more
openaire   +6 more sources

Adaptive event‐based asynchronous approach for containment control of Markov jump multi‐agent systems with hidden Markov models

Asian Journal of Control, EarlyView.
Abstract This paper focuses on the issue of adaptive event‐triggered containment control for Markov jump multi‐agent systems characterized by hidden Markov jump parameters. The central objective is to design an output‐feedback controller for the Markov jump multi‐agent system by using an adaptive event‐triggered technique that not only ensures the ...
Parivallal Arumugam, Oh‐Min Kwon, Sangwoon Yun, Yoon Mo Jung   +3 more
wiley   +1 more source