Results 21 to 30 of about 8,367 (202)
Some Properties of Positive Solutions for Nonlinear Systems Involving Pseudo-Relativistic Operators
Fractal and FractionalIn this paper, we mainly investigate the radial symmetry and monotonicity of positive solutions for a nonlinear system involving pseudo-relativistic operators and fractional derivatives of order (0,1).
Xiaoshan Wang, Zengbao Wu
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Splitting theorems, symmetry results and overdetermined problems for Riemannian manifolds [PDF]
, 2012 Our work proposes a unified approach to three different topics in a general Riemannian setting: splitting theorems, symmetry results and overdetermined elliptic problems. By the existence of a stable solution to the semilinear equation $-\Delta u = f(u)$
Farina, Alberto +2 more
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Regularity of stable solutions to semilinear elliptic equations on Riemannian models
Advances in Nonlinear Analysis, 2015 We consider the reaction-diffusion problem -Δgu = f(u) in ℬR with zero Dirichlet boundary condition, posed in a geodesic ball ℬR with radius R of a Riemannian model (M,g).
Castorina Daniele, Sanchón Manel
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Entanglement Entropy of Annulus in Three Dimensions
, 2015 The entanglement entropy of an annulus is examined in a three-dimensional system with or without a gap. For a free massive scalar field theory, we numerically calculate the mutual information across an annulus.
Nakaguchi, Yuki, Nishioka, Tatsuma
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Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes
, 2000 We consider the following eigenvalue optimization problem: Given a bounded domain $\Omega\subset\R^n$ and numbers $\alpha\geq 0$, $A\in [0,|\Omega|]$, find a subset $D\subset\Omega$ of area $A$ for which the first Dirichlet eigenvalue of the operator ...
Chanillo, S. +4 more
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Advanced Functional Materials, EarlyView.This work explores Li‐substituted P2 layered oxides for Na‐ion batteries by crystallographic and electrochemical studies. The effect of lithium on superstructure orderings, on phase transitions during synthesis and electrochemical cycling and on the interplay of O‐ versus TM‐redox is revealed via various advanced techniques, including semi‐simultaneous
Mingfeng Xu +5 more
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Advanced Functional Materials, EarlyView.A Complexation‐Mediated Diffusion‐Limited Growth (CMDLG) framework is established to rationalize the anisotropic growth of lead‐free perovskites. Integrating coordination chemistry with mass transport kinetics, this study theoretically derives and experimentally validates that stable iodocuprate complexes induce a diffusion‐limited regime.
Hyunmin Lee +5 more
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Advanced Functional Materials, EarlyView.Gold bipyramids can act as efficient plasmonic nanoheaters, but they often reshape during laser heating. This study shows that oxygen nanobubbles drive oxidative etching and that surface ligands control stability. CTAB‐ and citrate‐coated particles blunt and lose optical performance, whereas polystyrene sulfonate preserves shape and heating by ...
Irene López‐Sicilia +7 more
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Curvature‐Tuned Friction at Electrified Ionic Liquid Interfaces
Advanced Functional Materials, EarlyView.Graphene curvature plays a key role in friction electrotunability at single‐asperity contacts lubricated by ionic liquids. A 9 nm radius yields stronger tunability than larger radii, with distinct friction coefficients at low and high loads indicating a shift in the slippage plane.
Wei Song +6 more
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Advanced Healthcare Materials, EarlyView.This work pioneers melt electrowriting (MEW) of polyethylene vinyl acetate (PEVA) to fabricate ultra‐compliant, high‐resolution scaffolds. By integrating microscale precision with soft tissue‐like biomechanics, PEVA overcomes stiffness‐driven limitations of conventional MEW polymers, establishing a mechanically biomimetic platform for soft tissue ...
Finn Snow +9 more
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