Results 61 to 70 of about 1,342,909 (347)

Lagrangian embeddings and critical point theory [PDF]

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1985
We derive a lower bound for the number of intersection points of an exact Lagrangian embedding of a compact manifold into its cotangent bundle with the zero section. To do this the intersection problem is converted into the problem of finding solutions of a Hamiltonian system satisfying canonical boundary conditions.
openaire   +2 more sources

In vivo evidence for glycyl radical insertion into a catalytically inactive variant of pyruvate formate‐lyase

FEBS Letters, EarlyView.
Dimeric pyruvate formate‐lyase cleaves pyruvate using a radical‐based mechanism. G734 serves as a radical storage location, and the radical is transferred to the catalytic C419 residue. Mutation of the C418‐C419 pair causes loss of enzyme activity, but does not impede radical introduction onto G734. Therefore, cis‐ but not trans‐radical transfer occurs
Michelle Kammel, A. F. Volker Wagner, R. Gary Sawers   +2 more
wiley   +1 more source

Existence of homoclinic orbits for a class of nonlinear functional difference equations

Electronic Journal of Differential Equations, 2016
By using critical point theory, we prove the existence of a nontrivial homoclinic orbit for a class of nonlinear functional difference equations. Our conditions on the nonlinear term do not need to satisfy the well-known global Ambrosetti-Rabinowitz ...
Xia Liu, Tao Zhou, Haiping Shi
doaj  

Evolutionary interplay between viruses and R‐loops

FEBS Letters, EarlyView.
Viruses interact with specialized nucleic acid structures called R‐loops to influence host transcription, epigenetic states, latency, and immune evasion. This Perspective examines the roles of R‐loops in viral replication, integration, and silencing, and how viruses co‐opt or avoid these structures.
Zsolt Karányi, Zita Képes, Zoltán Szabó, Eszter Csoma, Lóránt Székvölgyi   +4 more
wiley   +1 more source

Periodic solutions for second order delay Duffing equation via critical point theory

Electronic Journal of Differential Equations, 2013
This article concerns the periodic problem of second order delay Duffing equation with cross resonance condition. Using critical point theory and homotopy methods, we obtain sufficient conditions for the existence of periodic solutions.
Jingrui Zhang, Yi Cheng, Changqin Yuan
doaj  

Disruption of SETD3‐mediated histidine‐73 methylation by the BWCFF‐associated β‐actin G74S mutation

FEBS Letters, EarlyView.
The β‐actin G74S mutation causes altered interaction of actin with SETD3, reducing histidine‐73 methylation efficiency and forming two distinct actin variants. The variable ratio of these variants across cell types and developmental stages contributes to tissue‐specific phenotypical changes. This imbalance may impair actin dynamics and mechanosensitive
Anja Marquardt, Marcus S. Münchhoff, Jacqueline Krohn, Philip M. Palarz, Manuel H. Taft, Johannes N. Greve, Nataliya Di Donato, Falk F. R. Buettner, Dietmar J. Manstein   +8 more
wiley   +1 more source

Insights into pegRNA design from editing of the cardiomyopathy‐associated phospholamban R14del mutation

FEBS Letters, EarlyView.
This study reveals how prime editing guide RNA (pegRNA) secondary structure and reverse transcriptase template length affect prime editing efficiency in correcting the phospholamban R14del cardiomyopathy‐associated mutation. Insights support the design of structurally optimized enhanced pegRNAs for precise gene therapy.
Bing Yao, Qiangbing Yang, Christian J.B. Snijders Blok, Mark A. Daniels, Pieter A. Doevendans, Raymond Schiffelers, Joost P.G. Sluijter, Zhiyong Lei   +7 more
wiley   +1 more source

Heteroclinic orbits of a second order nonlinear difference equation

Electronic Journal of Differential Equations, 2017
This article concerns a second-order nonlinear difference equation. By using critical point theory, the existence of two heteroclinic orbits is obtained. The main method used is variational.
Haiping Shi, Xia Liu, Tao Zhou
doaj  

Morse Thoery of Saddle Point Reduction with Applications

Axioms
In this paper, we demonstrate that when saddle point reduction is applicable, there is a clear relationship between the Morse index and the critical groups before and after the reduction.
Ran Yang, Qin Xing
doaj   +1 more source

Sandwich pairs in critical point theory [PDF]

Transactions of the American Mathematical Society, 2008
Since the development of the calculus of variations there has been interest in finding critical points of functionals. This was intensified by the fact that for many equations arising in practice the solutions are critical points of functionals. If a functional G is semibounded, one can find a Palais-Smale (PS) sequence G(u k ) → a, G'(u k ) → 0. These
openaire   +2 more sources