Results 61 to 70 of about 2,479 (310)
Angular singularities of elliptic problems
Criticality calculations for nuclear reactors are commonly based [8, 12, 13[ on 5-point difference approximations to the multigroup diffusion equations in plane sections, which have a low order of accuracy: O(V) if the mesh is uniform, and only 0(/r) if the mesh is nonuniform. The results reported here concern.
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Pak Biawak, a necrobot, embodies an unusual fusion of biology and robotics. Designed to repurpose natural structures after death, it challenges conventional boundaries between nature and engineering. Its movements are precise yet unsettling, raising questions about sustainability, ethics, and the untapped potential of biointegrated machines.
Leo Foulds +2 more
wiley +1 more source
Singular critical elliptic problems with fractional Laplacian
In this article, we consider the existence of solutions of the critical problem with a Hardy term for fractional Laplacian $$\displaylines{ (-\Delta)^s u -\mu \frac u{|x|^{2s}}= u^{2^*_s-1} \quad \text{in }\Omega,\cr u>0 \quad \text{in }\Omega, \cr
Xueqiao Wang, Jianfu Yang
doaj
Two weak solutions for some singular fourth order elliptic problems
In this paper, we establish the existence of at least two distinct weak solutions for some singular elliptic problems involving a $p$-biharmonic operator, subject to Navier boundary conditions in a smooth bounded domain in $\mathbb{R}^N$.
Lin Li
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Entire Solution of a Singular Semilinear Elliptic Problem
Betrachtet wird die singuläre semilineare elliptische Gleichung \[ \Delta u+ p(x)u^{-\gamma} = 0\quad \text{für} \quad x\in \mathbb{R}^n,\;\gamma>0,\;n\geq 3 \] mit einer homogenen Dirichletschen Randbedingung. Gilt \(p(x)>0\) für \(x\in\mathbb{R}^n\) und \(\int^\infty_0 t \varphi (t)dt0\) auf \(\overline \Omega\) [\textit{A. C. Lazer} und \textit{P. J.
Lair, Alan V., Shaker, Aihua W.
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Some uniqueness results for singular elliptic problems [PDF]
We prove some uniqueness results for Dirichlet problems for second-order linear elliptic partial differential equations in non-divergence form with singular data in suitable weighted Sobolev spaces, on an open subset Ω of R^n, n ≥ 2, not necessarily ...
D'AMBROSIO, ROBERTA, CASO, Loredana
core +1 more source
Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics
The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet +8 more
wiley +1 more source
The numerical solution of elliptic and parabolic partial differential equations with boundary singularities [PDF]
A general numerical method is described for the solution of linear elliptic and parabolic partial differential equations in the presence of boundary singularities.
Furzeland, RM, Crank, J
core
Exceptional CO2 Hydrogenation to Gasoline Enabled by GaZrOx/Ga‐ZSM‐5 Tandem Catalyst
A GaZrOx/Ga‐ZSM‐5 tandem catalyst achieves 17.2% CO2 conversion with 83.2% C5+ selectivity and >400 h stability relies on optimized O‐vacancies and Ga‐H coverage for CO2 hydrogenation. ABSTRACT CO2 hydrogenation to gasoline offers a promising route for addressing energy challenges and enabling the effective utilization of carbon resources. However, the
Wenhui Li +5 more
wiley +1 more source
Some Remarks on Biharmonic Elliptic Problems with a Singular Nonlinearity
We study the following semilinear biharmonic equation , which satisfies ...
Baishun Lai
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