Results 91 to 100 of about 393,013 (283)

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

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

Numerical approximation of the integral fractional Laplacian [PDF]

Numerische Mathematik, 2017
We propose a new nonconforming finite element algorithm to approximate the solution to the elliptic problem involving the fractional Laplacian. We first derive an integral representation of the bilinear form corresponding to the variational problem.
A. Bonito, Wenyu Lei, J. Pasciak
semanticscholar   +1 more source

Use of PopPK and E‐R Analyses toward Explaining Causal Link Between ADAMTS13 in Recombinant vs. Plasma‐Based Therapies and Clinical Effects in cTTP

Clinical Pharmacology &Therapeutics, EarlyView.
Congenital thrombotic thrombocytopenic purpura (cTTP) is an ultra‐rare, potentially life‐threatening condition caused by a deficiency of the blood enzyme ADAMTS13. Until now, ADAMTS13 replacement has been achieved with infusions of plasma or plasma‐based therapies (PBT).
Munjal Patel, Huijuan Xu, Olivier Barriere, Paul Diderichsen, Parth Patwari, Andy Z. X. Zhu, Jean François Marier, Thomas Peyret, Linda T. Wang, Björn Mellgård, Wenping Wang, Indranil Bhattacharya   +11 more
wiley   +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

Local Elliptic Regularity for the Dirichlet Fractional Laplacian [PDF]

, 2017
We prove the Wloc2⁢s,p${W_{{\mathrm{loc}}}^{2s,p}}$ local elliptic regularity of weak solutions to the Dirichlet problem associated with the fractional Laplacian on an arbitrary bounded open set of ℝN${\mathbb{R}^{N}}$. The key tool consists in analyzing
U. Biccari, M. Warma, E. Zuazua
semanticscholar   +1 more source

Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian [PDF]

Mathematics of Computation, 2019
For the discretization of the integral fractional Laplacian $(-\Delta)^s$, $0 < s < 1$, based on piecewise linear functions, we present and analyze a reliable weighted residual a posteriori error estimator.
M. Faustmann, J. Melenk, D. Praetorius
semanticscholar   +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

A conservative numerical scheme for the multilayer shallow‐water equations on unstructured meshes

Quarterly Journal of the Royal Meteorological Society, EarlyView.
An energy‐conserving scheme is derived for the multilayer shallow water model, making use of the direct connection between energy conservation and the skew symmetry of the Poisson bracket for the model. A new mechanism is proposed to prevent layer interface outcropping.
Qingshan Chen
wiley   +1 more source