Infinitely many solutions for elliptic problems in RN\mathbb{R}^N involving the p(x)p(x)-Laplacian

We consider the $p(x)$-Laplacian equations in $\mathbb{R}^N$. The potential function does not satisfy the coercive condition. We obtain the existence of infinitely many solutions of the equations, improving a recent result of Duan--Huang [L. Duan, L. H. Huang, Electron. J. Qual. Theory Differ. Equ. 2014, No. 28, 1--13]

Multiplicity of solutions for p-Laplacian equation in R^N with indefinite weight

In this article, we study the existence of infinitely many nontrivial solutions for a class of superlinear $p$-Laplacian equations $$-Delta_p u+V(x)|u|^{p-2}u=f(x,u),$$ where the primitive of the nonlinearity $f$ is of subcritical growth near $infty$ in $u$ and the weight function $V$ is allowed to be sign-changing. Our results extend the recent results of Zhang and Xu [Q. Y. Zhang, B. Xu, {em Multiplicity of solutions for a class of semilinear Schr"{o}dinger equations with sign-changing potential}, J. Math. Anal. Appl {bf 377}(2011), 834--840]

Self-protected nanoscale thermometry based on spin defects in silicon carbide

Quantum sensors with solid state electron spins have attracted considerable interest due to their nanoscale spatial resolution.A critical requirement is to suppress the environment noise of the solid state spin sensor.Here we demonstrate a nanoscale thermometer based on silicon carbide (SiC) electron spins.We experimentally demonstrate that the performance of the spin sensor is robust against dephasing due to a self protected machenism. The SiC thermometry may provide a promising platform for sensing in a noisy environment ,e.g. biological system sensing

High-efficiency generation of nanoscale single silicon vacancy defect array in silicon carbide

Color centers in silicon carbide have increasingly attracted attention in recent years owing to their excellent properties such as single photon emission, good photostability, and long spin coherence time even at room temperature. As compared to diamond which is widely used for holding Nitrogen-vacancy centers, SiC has the advantage in terms of large-scale, high-quality and low cost growth, as well as advanced fabrication technique in optoelectronics, leading to the prospects for large scale quantum engineering. In this paper, we report experimental demonstration of the generation of nanoscale $V_{Si}$ single defect array through ion implantation without the need of annealing. $V_{Si}$ defects are generated in pre-determined locations with resolution of tens of nanometers. This can help in integrating $V_{Si}$ defects with the photonic structures which, in turn, can improve the emission and collection efficiency of $V_{Si}$ defects when it is used in spin photonic quantum network. On the other hand, the defects are shallow and they are generated $\sim 40nm$ below the surface which can serve as critical resources in quantum sensing application

小鼠慢性应激性抑郁症易感品系筛选及其易感机制初步研究

Objective: To screen mouse strain that susceptive to chronic unpredicted mild stress (CUMS) and preliminarily research its susceptive mechanism. Methods: KM, ICR, BABL/c and C57BL/6 mice were used to establish CUMS depression model. Body weight, sucrose preference test (SPT), open field test (FT) were used to evaluate the sensitivity of mice to CUMS. Hippocampal levels of glucocorticoid receptor (GR), 5-hydroxytryptamine (5-HT), kynurenine (KYN) were measured and used for susceptive mechanism research. Results: Body weight, SPT, horizontal movement score and vertical movement score of C57BL/6 mice were found to susceptive to CUMS. SPT, horizontal movement score and vertical movement score of BABL/c showed similar tendency. Hippocampal levels of GR and KYN of normal C57BL/6 mice were significantly lower or higher than that of normal KM, ICR and BABL/c mice. Conclusions: Our study has led to the view that C57BL/6 mice are susceptive to CUMS and hippocampal levels of GR and KYN may be the main mechanism responsible for its susceptibility.目的  筛选对慢性轻度不可预见性应激（CUMS）敏感的小鼠品系，并初步研究其敏感机制，为小鼠抑郁模型的品系筛选、培育及改良提供科学依据。方法  选用KM、ICR、BABL/c、C57BL/6小鼠建立CUMS抑郁模型，通过体重、糖水偏好、旷场实验得分考察不同品系小鼠对慢性轻度不可预见性应激的敏感性。通过对小鼠海马组织糖皮质激素受体、5-羟色胺、犬尿氨酸含量的测定，对其易感机制进行初步研究。结果  造模后C57BL/6小鼠体重、糖水偏好、旷场实验水平运动和垂直运动得分等指标均对CUMS表现出显著敏感性，BABL/c小鼠对糖水偏好、旷场实验水平运动和垂直运动得分较为敏感。对照组C57BL/6小鼠海马组织糖皮质激素受体、犬尿氨酸含量与其他三种小鼠存在显著差异。结论  本研究结果认为C57BL/6 小鼠对CUMS最为敏感，适于建立CUMS抑郁症动物模型，其敏感机制可能与海马组织糖皮质激素受体、犬尿氨酸含量有关