Results 61 to 70 of about 215,203 (278)

Elliptic Equations with Degenerate Weights

open access: yesSIAM Journal on Mathematical Analysis, 2022
We obtain new local Calderon-Zygmund estimates for elliptic equations with matrix-valued weights for linear as well as non-linear equations. We introduce a novel log-BMO condition on the weight M. In particular, we assume smallness of the logarithm of the matrix-valued weight in BMO. This allows to include degenerate, discontinuous weights.
Khripunova Balci, Anna   +3 more
openaire   +6 more sources

Generating Cell Surface Nucleated Hydrogels with an Artificial Membrane‐Binding Transglutaminase

open access: yesAdvanced Functional Materials, EarlyView.
Cell‐based therapies require advanced strategies to enhance cell delivery and bioactivity. Cell membrane engineering offers an avenue to impart new functions to delivered cells to boost their viability and function. Here, an artificial membrane‐binding transglutaminase is generated and biophysically characterized.
Rosalia Cuahtecontzi Delint   +6 more
wiley   +1 more source

The Anisotropic Adsorption of De Novo Allosteric Two‐Component Protein Fibers on Mica Surfaces

open access: yesAdvanced Functional Materials, EarlyView.
In this study, the interfacial behavior of de novo designed proteins that self‐assemble into tubular architectures with distinct morphologies — small (S), large (L), and helical (H) fibers — at the muscovite mica‐water interface is explored using in situ AFM. Abstract Protein adsorption at solid–liquid interfaces underlies many biomedical and materials
Chenyang Shi   +7 more
wiley   +1 more source

Dirichlet problems for semilinear elliptic equations with a fast growth coefficient on unbounded domains

open access: yesElectronic Journal of Differential Equations, 2005
When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation ...
Zhiren Jin
doaj  

A note on well-posedness of source identification elliptic problem in a Banach space

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in H¨older norms are obtained. In applications, four elliptic source identification
A. Ashyralyev   +2 more
doaj   +1 more source

High Entropy Wide‐Bandgap Borates with Broadband Luminescence and Large Nonlinear Optical properties

open access: yesAdvanced Functional Materials, EarlyView.
High‐entropy rare‐earth borates exhibit excellent nonlinear optical and broadband luminescence properties arising from multi‐component doping, chemical disorder, increased configurational entropy, and increased lattice and electronic anharmonicity. This formulation enabled us to obtain a large, environmentally stable single crystal with 3X higher laser‐
Saugata Sarker   +14 more
wiley   +1 more source

The Dirichlet problem for elliptic equation with several singular coefficients [PDF]

open access: yesE-Journal of Analysis and Applied Mathematics, 2019
Recently found all the fundamental solutions of a multidimensional singular elliptic equation are expressed in terms of the well-known Lauricella hypergeometric function in many variables. In this paper, we find a unique solution of the Dirichlet problem
Tuhtasin G. Ergashev
doaj   +1 more source

Holomorphic anomaly equations and the Igusa cusp form conjecture

open access: yes, 2018
Let $S$ be a K3 surface and let $E$ be an elliptic curve. We solve the reduced Gromov-Witten theory of the Calabi-Yau threefold $S \times E$ for all curve classes which are primitive in the K3 factor.
A Beauville   +28 more
core   +1 more source

Elliptic Gaudin models and elliptic KZ equations [PDF]

open access: yesNuclear Physics B, 2002
The Gaudin models based on the face-type elliptic quantum groups and the $XYZ$ Gaudin models are studied. The Gaudin model Hamiltonians are constructed and are diagonalized by using the algebraic Bethe ansatz method. The corresponding face-type Knizhnik-Zamolodchikov equations and their solutions are given.
Gould, Mark D.   +2 more
openaire   +4 more sources

Conductance‐Dependent Photoresponse in a Dynamic SrTiO3 Memristor for Biorealistic Computing

open access: yesAdvanced Functional Materials, EarlyView.
A nanoscale SrTiO3 memristor is shown to exhibit dynamic synaptic behavior through the interaction of local electrical and global optical signals. Its photoresponse depends quantitatively on the conductance state, which evolves and decays over tunable timescales, enabling ultralow‐power, biorealistic learning mechanisms for advanced in‐memory and ...
Christoph Weilenmann   +8 more
wiley   +1 more source

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