Results 71 to 80 of about 211,809 (286)

A refined bound on the dimension of ℝN for an elliptic system involving critical terms with infinitely many solutions

Advances in Nonlinear Analysis, 2018
In this paper, we extend the result of Yan and Yang [16] on equations to an elliptic system involving critical Sobolev and Hardy–Sobolev exponents in bounded domains satisfying some geometric condition.
Benmouloud Samira, Khiddi Mustapha, Sbaï Simohammed   +2 more
doaj   +1 more source

On elliptic solutions of the quintic complex one-dimensional Ginzburg-Landau equation

, 2006
The Conte-Musette method has been modified for the search of only elliptic solutions to systems of differential equations. A key idea of this a priory restriction is to simplify calculations by means of the use of a few Laurent series solutions instead ...
Ablowitz M J, Buchberger B, Buchberger B, Conte R, Davenport J, Drouffe J-M, Erdélyi A, Eremenko A E, Fan E, Fan E, Gerdt V P, Ginzburg V L, Hone A N W, Kudryashov N A, Kudryashov N A, Kudryashov N A, Kudryashov N A, Kudryashov N A, Kudryashov N A Demina M V, Landau L D, Nikitin A G Barannyk T A, Porubov A V, S Yu Vernov, Tabor M, Timoshkova E I, Timoshkova E I, Vernov S Yu, Vernov S Yu, Vernov S Yu Ganzha V G Mayr E W Vorozhtsov E V, von Hurwitz A   +29 more
core   +1 more source

3D‐Printed Sulfur‐Derived Polymers With Controlled Architectures for Lithium‐Sulfur Batteries

Advanced Functional Materials, EarlyView.
Rheology‐guided formulation design for direct ink writing enables the fabrication of 3D sulfur copolymer cathodes with controlled architectures for lithium‐sulfur batteries. The printed electrodes exhibit multiscale porosity and high sulfur utilization, delivering enhanced electrochemical performance compared to conventional cast electrodes.
Bin Ling, Haoran Wang, Pan Yang, Rishav Agrawal, Alex R. Neale, Laurence J. Hardwick, Tom Hasell, Esther García‐Tuñón   +7 more
wiley   +1 more source

Analysis of an elliptic system with infinitely many solutions

Advances in Nonlinear Analysis, 2017
We consider the elliptic system Δ⁢u=up⁢vq${\Delta u\hskip-0.284528pt=\hskip-0.284528ptu^{p}v^{q}}$, Δ⁢v=ur⁢vs${\Delta v\hskip-0.284528pt=\hskip-0.284528ptu^{r}v^{s}}$ in Ω with the boundary conditions ∂⁡u/∂⁡η=λ⁢u${{\partial u/\partial\eta}=\lambda u}$, ∂⁡
Cortázar Carmen, Elgueta Manuel, García-Melián Jorge   +2 more
doaj   +1 more source

Explicit solutions of some equations and systems of mathematical physics

Advances in Difference Equations, 2020
This paper deals at first with a fully integrable evolution system of nonlinear partial differential equations (PDEs) which is a generalization of the classical Heisenberg ferromagnet equation.
Angela Slavova, Petar Popivanov
doaj   +1 more source

An All‐Optical Driven Bio‐Photovoltaic Interface for Active Control of Live Cells

Advanced Functional Materials, EarlyView.
Bio‐photovoltaic Interface (BIO‐PV‐I) for live cell manipulation is presented. BIO‐PV‐I can be activated non‐invasively and remotely to control the spatial motility, adhesion, and morphology of cells adhering to it. BIO‐PV‐I uses a patterned light‐induced electric potential in iron‐doped lithium niobate crystals whose light‐driven and reversible nature,
Lisa Miccio, Martina Mugnano, Valentina Marchesano, Alejandro Calabuig, Zhe Wang, Gennaro Giordano, Francesca Borrelli, Simonetta Grilli, Pietro Ferraro   +8 more
wiley   +1 more source

Boundary partial Holder regularity for elliptic systems with non-standard growth

Electronic Journal of Differential Equations, 2018
We investigate regular points on the boundaries of elliptic systems with non-standard growth, in particular, so-called Orlicz growth. A regular point on the boundary in this paper is a point for which a weak solution to a system is Holder continuous ...
Jihoon Ok
doaj  

Raman Microscopy at the Organic–Inorganic Interfaces in Human Calcified Aortic Valves Shows the Co‐Existence of Whitlockite Crystals and Carbonated Hydroxyapatite‐Mineralized Collagen Fibrils

Advanced Functional Materials, EarlyView.
This study advances our understanding of aortic valve stenosis by capturing spatially resolved chemical and structural changes at the nanoscale. The findings highlight the potential of combined Raman and electron microscopy for understanding calcification mechanisms across diverse tissue types.
Robin H. M. Van der Meijden, Carolien T. A Kuster, Amber van Broekhoven, Raphaela Allgayer, Luco Rutten, Rona Roverts, Marta Cerruti, Elena Macías‐Sánchez, Jan Hein Cornel, Salloua el Messaoudi, Anat Akiva, Nico Sommerdijk   +11 more
wiley   +1 more source

A compactness result for a Gelfand-Liouville system with Lipschitz condition

, 2015
We give a quantization analysis to an elliptic system (Gelfand-Liouville type system) with Dirichlet condition.
Bahoura, Samy Skander
core  

Magnetic Force Microscopy Signatures of Higher‐Order Skyrmions and Antiskyrmions

Advanced Functional Materials, EarlyView.
Magnetic force microscopy operated under vacuum conditions enables the qualitative identification of higher‐order skyrmions and antiskyrmions in Co/Ni multilayers at room temperature. Distinct stray‐field contrast signatures arise from vertical Bloch lines and complex domain‐wall configurations.
Sabri Koraltan, Joe Sunny, Tamer Karaman, Reshma Peremadathil‐Pradeep, Emily Darwin, Felix Büttner, Dieter Suess, Hans Josef Hug, Manfred Albrecht   +8 more
wiley   +1 more source