Results 81 to 90 of about 11,751,266 (377)
Single--peaks for a magnetic Schrödinger equation with critic al growth [PDF]
We prove existence results of complex-valued solutions for a semilinear Schr\"odinger equation with critical growth under the perturbation of an external electromagnetic field. Solutions are found via an abstract perturbation result in critical point theory.
arxiv
This paper is concerned with the following quasilinear Schrödinger system in $\mathbb{R}^N$: \begin{equation*} \begin{cases} -\varepsilon^2\Delta u+V_1(x)u-\varepsilon^2\Delta(u^{2})u=K_1(x)|u|^{22^*-2}u+h_1(x,u,v)u, \\ -\varepsilon^2\Delta v+V_2(x)v ...
Lili Wang, Xiangdong Fang, Zhi-Qing Han
doaj +1 more source
Unraveling Mycobacterium tuberculosis acid resistance and pH homeostasis mechanisms
Mycobacterium tuberculosis exhibits a remarkable resilience to acid stress. In this Review, we discuss some of the molecular mechanisms and metabolic pathways used by the tubercle bacilli to adapt and resist host‐mediated acid stress. Mycobacterium tuberculosis (Mtb) is a successful pathogen that has developed a variety of strategies to survive and ...
Janïs Laudouze+3 more
wiley +1 more source
Growth Equation with Conservation Law [PDF]
A growth equation with a generalized conservation law characterized by an integral kernel is introduced. The equation contains the Kardar-Parisi-Zhang, Sun-Guo-Grant, and Molecular-Beam Epitaxy growth equations as special cases and allows for a unified investigation of growth equations.
arxiv
SUPER-CRITICAL GROWTH OF MASSIVE BLACK HOLES FROM STELLAR-MASS SEEDS [PDF]
We consider super-critical accretion with angular momentum onto stellar-mass black holes as a possible mechanism for growing billion-solar-mass black holes from light seeds at early times. We use the radiatively inefficient “slim disk” solution—advective,
P. Madau, F. Haardt, M. Dotti
semanticscholar +1 more source
α2 → 8 polysialic acid elicits poor immunogenicity. Small‐angle scattering shows a supramolecular structure with parallel‐chain binding, although in different forms at μm and mm calcium. The major histocompatibility complex requires molecular weights around 2000 Da to produce antibodies, and 2000 Da polysialic oligomers will bind in these structures ...
Kenneth A. Rubinson
wiley +1 more source
In this paper, we consider a class of semilinear elliptic equation with critical exponent and -1 growth. By using the critical point theory for nonsmooth functionals, two positive solutions are obtained. Moreover, the symmetry and monotonicity properties
Lei Chun-Yu, Liao Jia-Feng
doaj +1 more source
Mechanosensing is critical for axon growth in the developing brain [PDF]
During nervous system development, neurons extend axons along well-defined pathways. The current understanding of axon pathfinding is based mainly on chemical signaling. However, growing neurons interact not only chemically but also mechanically with their environment. Here we identify mechanical signals as important regulators of axon pathfinding.
Kristian Franze+13 more
openaire +3 more sources
Venom peptides have shown promise in treating pain. Our study uses computer screening to identify a peptide that targets a sodium channel (NaV1.7) linked to chronic pain. We produced the peptide in the laboratory and refined its design, advancing the search for innovative pain therapies.
Gagan Sharma+8 more
wiley +1 more source
Growth of critical points in one-dimensional lattice systems [PDF]
We study the growth of the numbers of critical points in one-dimensional lattice systems by using (real) algebraic geometry and the theory of homoclinic tangency.
arxiv