Results 41 to 50 of about 1,795 (267)

The solution sets of extremal problems in 𝐻¹ [PDF]

Proceedings of the American Mathematical Society, 1985
Let u u be an essentially bounded function on the unit circle
openaire   +1 more source

The human gut microbiome across the life course

FEBS Letters, EarlyView.
Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stage‐specific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Özkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero, Basak Bahcivanci, Antonietta Hayhoe, Animesh Acharjee, Ezgi Özkurt   +4 more
wiley   +1 more source

Flows of rotating extremal attractor black holes

Journal of High Energy Physics, 2023
We investigate the attractor mechanism of five-dimensional extremal rotating black holes in Einstein gravity minimally coupled with a multiplet complex scalar.
Norihiro Iizuka, Akihiro Ishibashi, Kengo Maeda   +2 more
doaj   +1 more source

Design and analysis strategies for robust microbiome ageing research

FEBS Letters, EarlyView.
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik, İsmail Güderer, Yi Wang, Tayyaba Alvi, Prasoon Pandey, Handan Melike Dönertaş   +5 more
wiley   +1 more source

Existence results for semilinear perturbed functional differential equations with nondensely defined operators

Fixed Point Theory and Applications, 2006
We will establish sufficient conditions for the existence of integral solutions and extremal integral solutions for semilinear functional differential equations with nondensely defined operators in Banach spaces.
S. K. Ntouyas, M. Benchohra, M. Belmekki   +2 more
doaj   +2 more sources

Infinity Laplace equation with non-trivial right-hand side

Electronic Journal of Differential Equations, 2010
We analyze the set of continuous viscosity solutions of the infinity Laplace equation $-Delta^N_{infty}w(x) = f(x)$, with generally sign-changing right-hand side in a bounded domain.
Guozhen Lu, Peiyong Wang
doaj  

Reconstructing enzyme evolution by protein engineering

FEBS Letters, EarlyView.
Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler, Markus R. Busch, Reinhard Sterner   +2 more
wiley   +1 more source

Solving 1D crossing and QFT2/CFT1

Journal of High Energy Physics
We provide an effective solution of the 1D crossing equation. We begin by arguing that crossing constraints can be recast in terms of bases of sum rules associated to special sets of CFT data — extremal solutions — which solve these constraints in a ...
Kausik Ghosh, Miguel F. Paulos, Noé Suchel   +2 more
doaj   +1 more source

Extremal problems related to convexity

Journal of Inequalities and Applications, 2016
We consider the extremal problem of maximizing functions u in the class of real-valued biconvex functions satisfying a boundary condition ψ on a product of the unit ball with itself, with the ℓ p $\ell^{p}$ -norm. In 1986, Burkholder explicitly found the
Aimo Hinkkanen, Sineenuch Suwannaphichat
doaj   +1 more source

Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation

FEBS Letters, EarlyView.
Peptides and antibodies occupy complementary therapeutic niches. Peptides recognize difficult targets in a compact format, while antibodies add specificity, long half‐life, and effector functions. This review examines strategies that merge both modalities—peptide grafting into loops, terminal and Fc fusions, and bioconjugation—highlighting how ...
Jinling Wang, Ruslana Romaniuk, Hristo L. Svilenov   +2 more
wiley   +1 more source