Results 31 to 40 of about 11,464 (219)

Remarks on the “Onsager Singularity Theorem” for Leray–Hopf Weak Solutions: The Hölder Continuous Case

open access: yesMathematics, 2023
In this paper, we first present an overview of the results related to energy conservation in spaces of Hölder-continuous functions for weak solutions to the Euler and Navier–Stokes equations.
Luigi C. Berselli
doaj   +1 more source

Chiral separation of chloroalkanes with the chromatographic column onboard Martian rovers

open access: yesFEBS Letters, EarlyView.
Computer image of the Rosalind Franklin Rover of ESA's ExoMars mission. ExoMars is scheduled to land on planet Mars in Oxia Planum in 2029. This area represents an interesting spot to look for biosignatures. Investigations of ExoMars include measurement on molecular chirality. We show that chiral chloroalkanes, that have been identified on Mars, can be
Asma Merzougui   +4 more
wiley   +1 more source

Regularity Results for Hybrid Proportional Operators on Hölder Spaces

open access: yesFractal and Fractional
Recently, a new type of derivative has been introduced, known as Caputo proportional derivatives. These are motivated by the applications of such derivatives (which are a generalization of Caputo’s standard fractional derivative) and the need to ...
Mieczysław Cichoń   +2 more
doaj   +1 more source

ε-Coverings of Hölder-Zygmund Type Spaces on Data-Defined Manifolds

open access: yesAbstract and Applied Analysis, 2014
We first determine the asymptotes of the ε-covering numbers of Hölder-Zygmund type spaces on data-defined manifolds. Secondly, a fully discrete and finite algorithmic scheme is developed providing explicit ε-coverings whose cardinality is asymptotically ...
Martin Ehler, Frank Filbir
doaj   +1 more source

Smaller is better: nanobodies meet NMR

open access: yesFEBS Letters, EarlyView.
Nanobodies are single‐domain antigen‐binding fragments derived from camelid heavy chain antibodies. Their small size, high stability, and exceptional specificity make nanobodies uniquely useful probes for NMR studies of protein dynamics, transient conformational states, and protein–protein interactions.
Oleg Y. Dmitriev
wiley   +1 more source

Membrane composition and thermodynamic identity as boundaries of life for synthetic cell research

open access: yesFEBS Letters, EarlyView.
What makes a cell a cell? The boundary of a living cell is not just a wall. Read as a Markov blanket, the membrane separates internal from external states, generating identity and non‐equilibrium order. Can this identity be rebuilt from scratch in a synthetic cell?
Caterina Presutti, Bert Poolman
wiley   +1 more source

Weighted Morrey Spaces Related to Certain Nonnegative Potentials and Riesz Transforms

open access: yesJournal of Function Spaces, 2019
Let L=-Δ+V be a Schrödinger operator, where Δ is the Laplacian on Rd and the nonnegative potential V belongs to the reverse Hölder class RHq for q≥d. The Riesz transform associated with the operator L=-Δ+V is denoted by R=∇(-Δ+V)-1/2 and the dual Riesz ...
Hua Wang
doaj   +1 more source

Epigenetic heterogeneity and plasticity in therapy‐induced tumor states through single‐cell multi‐omics

open access: yesMolecular Oncology, EarlyView.
Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim   +3 more
wiley   +1 more source

Kolmogorov inequalities for norms of Marchaud-type fractional derivatives of multivariate functions

open access: yesResearches in Mathematics, 2020
We obtain new sharp Kolmogorov type inequalities, estimating the norm of mixed Marchaud type derivative of multivariate function through the C-norm of function itself and its norms in Hölder spaces.
N.V. Parfinovych, V.V. Pylypenko
doaj   +1 more source

Spatial biology in cancer epigenetics

open access: yesMolecular Oncology, EarlyView.
Spatial epigenomics combines molecular profiling with tissue architecture to reveal how gene regulation is organized within intact tissues. In cancer, these technologies uncover the mechanisms driving tumor heterogeneity and microenvironmental interactions, opening new opportunities for biomarker discovery and precision medicine.
Eva Crespo‐García, Manel Esteller
wiley   +1 more source

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