Results 61 to 70 of about 3,501,569 (379)
Existence results for elliptic equations
Journal of Mathematical Analysis and Applications, 2002 AbstractThis paper is concerned with the Dirichlet problem for second-order elliptic equations in nondivergence form with discontinuous coefficients in an unbounded open subset Ω of Rn, n⩾3. An our recent a priori estimate combined with the Fredholm index theory and a generalized method of continuity allows us to establish some unique solvability ...
CASO, Loredana +2 more
openaire +3 more sources
Advanced Biology, EarlyView.The successful in situ polymerization of microtubules in giant polymer‐lipid hybrid vesicles is illustrated. The microtubules formed in the giant hybrid vesicles exhibit different morphologies including lumenal network formation and membrane association. Abstract Creating artificial cells with a dynamic cytoskeleton, akin to those in living cells, is a
Paula De Dios Andres +4 more
wiley +1 more source
Elasticity of Diametrically Compressed Microfabricated Woodpile Lattices
Advanced Engineering Materials, EarlyView.Modulus–porosity relationship is derived for woodpile lattices with struts under diametrical compression. The formula presented here that Young's modulus is proportional to the square of the volume fraction E˜ρ2$E \sim \left(\rho\right)^{2}$ is shown to be consistent with computations and laboratory experiments on 3D‐printed samples.
Faezeh Shalchy, Atul Bhaskar
wiley +1 more source
On oscillatory elliptic equations on manifolds [PDF]
Transactions of the American Mathematical Society, 1980 In this note we investigate the possibility of oscillatory behavior for a second-order selfadjoint elliptic operators on noncompact Riemannian manifolds (M, g). Let A be such an operator which is semibounded below and symmetric on C 0 ∞ ( M ) ⊆
E. A. Feldman, A. Baider
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An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations [PDF]
, 2014 We establish an optimal, linear rate of convergence for the stochastic homogenization of discrete linear elliptic equations. We consider the model problem of independent and identically distributed coefficients on a discretized unit torus.
A. Gloria, S. Neukamm, F. Otto
semanticscholar +1 more source
Advanced Engineering Materials, EarlyView.In this study, OpenPhase software is used to simulate low‐carbon bainitic steels. The lower holding temperature sample exhibits smaller and finer grains. Grain thickness measurements of bainitic ferrite from simulations align with the experimental observations at high temperature. Bainitic steels are extensively utilized across various sectors, such as
Dhanunjaya K. Nerella +7 more
wiley +1 more source
Generalized Ponce’s inequality
Journal of Inequalities and Applications, 2021 We provide a generalization of a remarkable inequality by A. C. Ponce whose consequences are essential in several fields, such as a characterization of Sobolev spaces or nonlocal modelization.
Julio Muñoz
doaj +1 more source
Elliptic Families of Solutions of the Kadomtsev-Petviashvili Equation and the Field Elliptic Calogero-Moser System [PDF]
arXiv, 2002 We present the Lax pair for the field elliptic Calogero-Moser system and establish a connection between this system and the Kadomtsev-Petviashvili equation. Namely, we consider elliptic families of solutions of the KP equation, such that their poles satisfy a constraint of being balanced.
arxiv
On the removability of isolated singular points for elliptic equations involving variable exponent
, 2015 In this paper, we study the problem of removable isolated singularities for elliptic equations with variable exponents. We give a sufficient condition for removability of the isolated singular point for the equations in W 1,p(x) (Ω)${W^{1,p(x)}(\Omega )}$
Yongqiang Fu, Y. Shan
semanticscholar +1 more source
Smart Rubber Extrusion Line Combining Multiple Sensor Techniques for AI‐Based Process Control
Advanced Engineering Materials, EarlyView.This publication presents a digitalization approach for a laboratory rubber extrusion line, employing innovative measurement methods and artificial intelligence (AI)‐based process control. The results demonstrate that the measurement systems are capable of detecting changes in the process and extrudate quality.
Alexander Aschemann +18 more
wiley +1 more source