Results 41 to 50 of about 164,762 (278)

Holder continuity for vector-valued minimizers of quadratic functionals

Electronic Journal of Differential Equations, 2020
In this article we give a sufficient condition for interior everywhere Holder continuity of weak minimizers of a class of quadratic functionals with coefficients $A_{ij}^{\alpha\beta}(\cdot,u)$ belonging to the VMO-class, uniformly with respect to $u\
Josef Danecek, Eugen Viszus
doaj  

An alternative approach to partial regularity of quasilinear elliptic systems with VMO coefficients

Journal of Inequalities and Applications, 2016
In this paper, we provide an alternative approach to partially Hölder continuity of some quasilinear elliptic systems with discontinuous coefficients under natural growth.
Haiyan Yu, Shenzhou Zheng, Yuxia Tong
doaj   +1 more source

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

FEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source

Partial continuity for a class of elliptic systems with non-standard growth

Electronic Journal of Differential Equations, 2016
We study partial Holder continuity of weak solutions to elliptic systems with variable non-standard growth, which are related to the function $\Phi(x,t):=t^{p(x)}\log(e+t)$. We prove that weak solutions are Holder continuous for any Holder exponent,
Jihoon Ok
doaj  

Unified Framework of Approximating and Interpolatory Subdivision Schemes for Construction of Class of Binary Subdivision Schemes

Journal of Function Spaces, 2020
In this paper, a generalized algorithm to develop a class of approximating binary subdivision schemes is presented. The proposed algorithm is based on three-point approximating binary and four-point interpolating binary subdivision schemes. It contains a
Pakeeza Ashraf, Ghulam Mustafa, Abdul Ghaffar, Rida Zahra, Kottakkaran Sooppy Nisar, Emad E. Mahmoud, Wedad R. Alharbi   +6 more
doaj   +1 more source

A methionine‐lined active site governs carbocation stabilization and product specificity in a bacterial terpene synthase

FEBS Letters, EarlyView.
This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel, Carl P. O. Helmer, Shani Zev, Ronja Driller, Emily Buhr, Markus Reinbold, Renana Schwartz, Gabriel Foley, Mikael Boden, Daniel Garbe, Gerhard Schenk, Dan Thomas Major, Bernhard Loll, Thomas Brück   +13 more
wiley   +1 more source

The Highly Oscillatory Behavior of Automorphic Distributions for SL(2)

, 2004
Automorphic distributions for SL(2) arise as boundary values of modular forms and, in a more subtle manner, from Maass forms. In the case of modular forms of weight one or of Maass forms, the automorphic distributions have continuous first ...
A. Zygmund, F. Chamizo, J. Duistermaat, J. Gerver, J. Hafner, S. Bernstein, S. D. Miller, S. D. Miller, Stephen D. Miller, W. Schmid, Wilfried Schmid   +10 more
core   +1 more source

Continuous Sharpening of Hölder's and Minkowski's Inequalities [PDF]

Mathematical Inequalities & Applications, 2005
Some properties of functions which in special cases lead to sharpening of Holder's and other interesting inequalities are proved. Results analogue to theorems leading to reverse Holder's inequality are presented.
Abramovich, S., Pečarić, J., Varošanec, S.   +2 more
openaire   +3 more sources

Organizing the interface—Plasma membrane architecture and receptor dynamics in virus‐cell interactions

FEBS Letters, EarlyView.
Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley   +1 more source

Holder continuity with exponent (1+alpha)/2 in the time variable for solutions of parabolic equations

Electronic Journal of Differential Equations, 2015
We consider the regularity of solutions for some parabolic equations. We show Holder continuity with exponent $(1+\alpha )/2$, with respect to the time variable, when the gradient in the space variable of the solution has the Holder continuity with ...
Junichi Aramaki
doaj