Results 61 to 70 of about 2,479 (310)

Angular singularities of elliptic problems

open access: yesJournal of Approximation Theory, 1972
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.
openaire   +2 more sources

Gait Analysis of Pak Biawak: A Necrobot Lizard Built using the Skeleton of an Asian Water Monitor (Varanus Salvator)

open access: yesAdvanced Robotics Research, EarlyView.
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

open access: yesElectronic Journal of Differential Equations, 2015
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

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
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
doaj   +1 more source

Entire Solution of a Singular Semilinear Elliptic Problem

open access: yesJournal of Mathematical Analysis and Applications, 1996
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.
openaire   +2 more sources

Some uniqueness results for singular elliptic problems [PDF]

open access: yes, 2015
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

open access: yesAdvanced Science, EarlyView.
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]

open access: yes, 1976
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

open access: yesAdvanced Science, EarlyView.
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

open access: yesAbstract and Applied Analysis, 2014
We study the following semilinear biharmonic equation  , which satisfies ...
Baishun Lai
doaj   +1 more source

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