Results 51 to 60 of about 11,399,904 (367)
Dirichlet and Neumann Boundary Value Problems for Dunkl Polyharmonic Equations
Mathematics, 2023 Dunkl operators are a family of commuting differential–difference operators associated with a finite reflection group. These operators play a key role in the area of harmonic analysis and theory of spherical functions.
Hongfen Yuan, Valery Karachik
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International Journal of Mathematics and Mathematical Sciences, 2004 We obtain global estimates for the modulus, interior gradient estimates, and boundary Hölder continuity estimates for solutions u to the capillarity problem and to the Dirichlet problem for the mean curvature equation merely in terms of the mean ...
Fei-Tsen Liang
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Nontrivial Solutions of the Kirchhoff-Type Fractional p-Laplacian Dirichlet Problem
Journal of Function Spaces, 2020 In this article, we consider the new results for the Kirchhoff-type p-Laplacian Dirichlet problem containing the Riemann-Liouville fractional derivative operators.
Taiyong Chen, Wenbin Liu, Hua Jin
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, 1960 Thesis (M.A.)--Boston UniversityThe problem of finding the solution to a general eliptic type partial differential equation, when the boundary values are given, is generally referred to as the Dirichlet Problem.
Wyman, Jeffries
core
Multi‐Scale Modeling of a 3D Soft Magnetoelectric Patch for Wireless Nerve Stimulation
Advanced Materials Interfaces, EarlyView.Core‐shell, magnetoelectric nanoparticles (MENPs) can serve as wireless electric nano‐sources, thanks to their ability to generate high levels of electricity, when stimulated by a human‐safe external magnetic field. By combining MENPs with soft, biocompatible polymeric matrices and optimizing its composite configuration and electrical behavior via ...
Giulia Suarato +6 more
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Dynamic Synthesis of Multi‐Modal Representations for CITE‐seq Data Integration and Analysis
Advanced Science, EarlyView.The accurate integration of CITE‐seq modalities faces challenges due to complex RNA‐protein nonlinear interactions and computational inefficiencies. A lightweight framework that adaptively fuses RNA and ADT modalities, and refines them through fine‐grained learning is developed to address this issue.
Yinan Shi +5 more
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The Dirichlet problem on quadratic surfaces [PDF]
Mathematics of Computation, 2003 We give a fast, exact algorithm for solving Dirichlet problems with polynomial boundary functions on quadratic surfaces in R^n such as ellipsoids, elliptic cylinders, and paraboloids. To produce this algorithm, first we show that every polynomial in R^n can be uniquely written as the sum of a harmonic function and a polynomial multiple of a quadratic ...
Karl Voss, Pamela Gorkin, Sheldon Axler
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Kiselman's principle, the Dirichlet problem for the Monge-Ampere equation, and rooftop obstacle problems [PDF]
, 2014 First, we obtain a new formula for Bremermann type upper envelopes, that arise frequently in convex analysis and pluripotential theory, in terms of the Legendre transform of the convex- or plurisubharmonic-envelope of the boundary data. This yields a new
Tam'as Darvas, Yanir A. Rubinstein
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Advanced Energy Materials, EarlyView.This review outlines the implementation of digital twin frameworks for solid oxide electrochemical cells (SOCs), encompassing 3D microstructure reconstruction, quantitative morphological analysis, and microstructure‐resolved multiphysics modeling. Emphasis is placed on recent advances that position digital twins as powerful tools for microstructure ...
Seungsoo Jang +9 more
wiley +1 more source
Journal of Inequalities and Applications, 2008 We consider the transient drift-diffusion model with fast diffusion terms. This problem is not only degenerate but also singular. We first present existence result for general nonlinear diffusivities for the Dirichlet-Neumann mixed boundary value problem.
Bin Wu
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