Results 71 to 80 of about 321,760 (289)
Bruno Pini Mathematical Analysis SeminarWith this note, we aim at drawing a short, coherent, and compact guide of the state-of-the-art on the theory of basic regularity, such as local boundedness, local Hölder continuity, Harnack estimates and some of their consequences, in the context of ...
Bashayer Majrashi, Vincenzo Vespri
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Existence and regularity of solutions to a quasilinear elliptic problem involving variable sources
Boundary Value Problems, 2017 The authors of this paper prove the existence and regularity results for the homogeneous Dirichlet boundary value problem to the equation − div ( | ∇ u | p − 2 ∇ u ) = f ( x ) u α ( x ) $-\operatorname{div}(|\nabla u|^{p-2}\nabla u)=\frac{f(x)}{u ...
Ying Chu, Ruimei Gao, Yan Sun
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Directional Confinement Governed Ion Transport for Efficient Actuation
Advanced Materials, EarlyView.Structural anisotropy provides an effective means to regulate ion transport in polymer electrolytes. Directionally aligned channels formed by freeze‐drying provide continuous pathways for ion migration, enhancing ion mobility and simultaneously improving the strain and blocking force of ionic actuators.
Yufei Zhang +8 more
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The anisotropic integrability logarithmic regularity criterion to the 3D micropolar fluid equations
, 2020 The aim of this paper is to establish the regularity criterion of weak solutions to the 3D micropolar fluid equations by one directional derivative of the pressure in anisotropic Lebesgue spaces.
Gala S. +7 more
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Advances in Bio‐Integrated Edge Computing Systems for Smart and Connected Health
Advanced Materials, EarlyView.This review explores advances in bio‐integrated edge computing for healthcare, focusing on co‐designing computing, sensing, and energy strategies to overcome integration and power challenges for optimized, decentralized operation. ABSTRACT Recent advances in bio‐integrated healthcare technologies have enabled continuous, high‐resolution monitoring and ...
Gyuwon Kim +4 more
wiley +1 more source
Applied Sciences, 2016 This manuscript explores numerical errors in highly anisotropic diffusion problems. First, the paper addresses the use of regular structured meshes in numerical solutions versus meshes aligned with the preferential directions of the problem.
Daniel Pérez-Grande +3 more
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A Noninvasive Approach to Study Localized Forces in 3D Epithelia
Advanced Materials, EarlyView.Epithelial morphogenesis depends on dynamic mechanical coupling between adhesion complexes and the cytoskeleton, yet its regulation in polarized 3D tissues remains elusive. We developed a noninvasive strategy using cell‐like elastic microbeads to quantify local forces in intact epithelia.
Niels Gouirand +9 more
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Regularity of harmonic functions for anisotropic fractional Laplacians
Mathematische Nachrichten, 2010 AbstractWe prove that bounded harmonic functions of anisotropic fractional Laplacians are Hölder continuous under mild regularity assumptions on the corresponding Lévy measure. Under some stronger assumptions the Green function, Poisson kernel and the harmonic functions are even differentiable of order up to three (© 2010 WILEY‐VCH Verlag GmbH & Co.
openaire +3 more sources
Anisotropic elliptic equations in $\mathbb R^{N}$: existence and regularity results
, 2010 We investigate a class of anisotropic elliptic equations in the whole $\mathbb R^N$. By a variational approach, we obtain existence and regularity of nontrivial solutions in the framework of anisotropic Sobolev spaces.
El Manouni, Said, Bendahmane, Mostafa
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Regularity results for nonlocal evolution Venttsel' problems
, 2020 We consider parabolic nonlocal Venttsel' problems in polygonal and piecewise smooth two-dimensional domains and study existence, uniqueness and regularity in (anisotropic) weighted Sobolev spaces of the solution.
Lancia M. R. +5 more
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