Results 71 to 80 of about 13,856,788 (331)

A Boundary Value Problem for Hermitian Monogenic Functions

open access: yesBoundary Value Problems, 2008
We study the problem of finding a Hermitian monogenic function with a given jump on a given hypersurface in ℝm, m=2n. Necessary and sufficient conditions for the solvability of this problem are obtained.
Ricardo Abreu Blaya   +3 more
doaj   +2 more sources

Dirichlet and Neumann boundary value problems for bi-polyanalytic functions on the bicylinder

open access: yesAIMS Mathematics
Applying the Cauchy-Pompeiu formula and the properties of the singular integral operators on the unit disc, the specific representation of the solutions to the boundary value problems with the Dirichlet boundary conditions for bi-polyanalytic functions ...
Yanyan Cui, Chaojun Wang
doaj   +1 more source

Graphs of bounded degree and the $p$-harmonic boundary

open access: yes, 2010
Let $p$ be a real number greater than one and let $G$ be a connected graph of bounded degree. In this paper we introduce the $p$-harmonic boundary of $G$.
Puls, Michael J.
core   +2 more sources

Large $s$-harmonic functions and boundary blow-up solutions for the fractional Laplacian [PDF]

open access: yes, 2013
We present a notion of weak solution for the Dirichlet problem driven by the fractional Laplacian, following the Stampacchia theory. Then, we study semilinear problems on bounded domains $\Omega$ with two different boundary conditions at the same time ...
Nicola Abatangelo
semanticscholar   +1 more source

Interplay between circadian and other transcription factors—Implications for cycling transcriptome reprogramming

open access: yesFEBS Letters, EarlyView.
This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
wiley   +1 more source

A new technique to study the boundary behaviors of superharmonic multifunctions and their application

open access: yesBoundary Value Problems, 2017
Using some recent results of the Riesz decomposition method for sharp estimates of certain boundary value problems of harmonic functions in (St. Cer. Mat.
Yong Lu, Jianguo Sun
doaj   +1 more source

Solution to the Dirichlet Problem of the Wave Equation on a Star Graph

open access: yesMathematics, 2023
In this paper, the solution to the Dirichlet problem for the wave equation on the star graph is constructed. To begin, we solve the boundary value problem on the interval (on one edge of the graph).
Gaukhar Arepova   +2 more
doaj   +1 more source

Correlation functions of the XYZ model with a boundary

open access: yes, 2000
Integral formulae for the correlation functions of the XYZ model with a boundary are calculated by mapping the model to the bosonized boundary SOS model. The boundary K-matrix considered here coincides with the known general solution of the boundary Yang-
Andrews   +16 more
core   +1 more source

Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer

open access: yesFEBS Letters, EarlyView.
Ribonucleotide reductases (RNR) synthesize DNA building blocks de novo, making them crucial in DNA replication and drug targeting. FLARE introduces the first single‐tube real‐time coupled RNR assay, which enables isothermal tracking of RNR activity at nanomolar enzyme levels and allows the reconstruction of allosteric regulatory patterns and rapid ...
Jacopo De Capitani   +4 more
wiley   +1 more source

Systems of Approximating Functions when Using Variational Methods for Calculating Thin-Walled Building Structures

open access: yesStructural Mechanics of Engineering Constructions and Buildings
The question of the use of approximating functions in the calculation of thinwalled building structures is investigated and the requirements that they must satisfy are analyzed.
Vladimir V. Karpov
doaj   +1 more source

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