185,865 research outputs found
Wei L, Songchang S, Huiyu L, Huibin H, Gang C, Junping W. Global characteristics and trends of research on polycystic ovary syndrome from 2004 to 2019: Based on bibliometric analysis combined with information visualization analysis
No full textWei L, Huibin H, Junping W, Gang C, Guangda X.Global characteristics and trends of research on polycystic ovary syndrome from 2004 to 2019: Based on bibliometric analysis combined with information visualization analysi
Secular variation in the elemental composition of marine shales since 840 Ma: Tectonic and seawater influences
No full textSuplemental data for Wei and Algeo_GCA_MS_(08/27/2019
Secular variation in the elemental composition of marine shales since 840 Ma: Tectonic and seawater influences
No full textSuplemental data for Wei and Algeo_GCA_MS_(08/27/2019
Secular variation in the elemental composition of marine shales since 840 Ma: Tectonic and seawater influences
No full textSuplemental data for Wei and Algeo_GCA_MS_(08/27/2019
The universal planned language of K'ang Yu-wei
No full textK’ang Yu-wei był wielkim reformatorem i politykiem, który żył pod koniec epoki Cesarstwa Chińskiego. Był jednocześnie filozofem społecznym i w ramach tejże pracy filozoficznej zajął się ideą uniwersalnego języka dla całego świata.K’ang Yu-wei was a highly important reformer and political figure at the end of the Chinese Empire. He was at the same time a social philosopher, who as part of his philosophy dealt with the concept of a universal world-wide planned languag
Siobla pseudoplesia Niu & Wei 2012
No full textSiobla pseudoplesia Niu & Wei, 2012 (Figs 2 g, 2 h, 5 c, 5 d, 6 j–n, 9 h, 9 u, 10 w, 10 x) Siobla pseudoplesia Niu et al., 2012: 410. f #, type locality: Mt. Shennongjia, Hubei (China). Distribution. China (Ningxia, Shaanxi, Shanxi, Henan, Hubei, Sichuan). Remarks. The species is similar to S. acutitheca Niu & Wei, 2010 but differs from it in the ovipositor sheath distinctly shorter than middle tibia, the apical sheath very narrow in lateral view and acute at apex, the middle breadth of apical sheath about half breadth of the apex of hind tibia; the serrulae weakly sclerotized and almost flat, the 10 th serrula with 10–12 minute teeth; the postocellar area as broad as long; the interspaces between punctures on mesonotum microsculptured, almost mat; the abdominal tergite 1 weakly microsculptured, tergites 2–9 hardly microsculptured; and the first pulvillus small, distinctly shorter than half apical breadth of metabasitarsus.Published as part of Niu, Gengyun & Wei, Meicai, 2013, Revision of the Siobla formosana group (Hymenoptera: Tenthredinidae), pp. 41-68 in Zootaxa 3746 (1) on page 51, DOI: 10.11646/zootaxa.3746.1.2, http://zenodo.org/record/28530
Siobla pseudoplesia Niu & Wei 2012
No full textSiobla pseudoplesia Niu & Wei, 2012 (Figs 2 g, 2 h, 5 c, 5 d, 6 j–n, 9 h, 9 u, 10 w, 10 x) Siobla pseudoplesia Niu et al., 2012: 410. f #, type locality: Mt. Shennongjia, Hubei (China). Distribution. China (Ningxia, Shaanxi, Shanxi, Henan, Hubei, Sichuan). Remarks. The species is similar to S. acutitheca Niu & Wei, 2010 but differs from it in the ovipositor sheath distinctly shorter than middle tibia, the apical sheath very narrow in lateral view and acute at apex, the middle breadth of apical sheath about half breadth of the apex of hind tibia; the serrulae weakly sclerotized and almost flat, the 10 th serrula with 10–12 minute teeth; the postocellar area as broad as long; the interspaces between punctures on mesonotum microsculptured, almost mat; the abdominal tergite 1 weakly microsculptured, tergites 2–9 hardly microsculptured; and the first pulvillus small, distinctly shorter than half apical breadth of metabasitarsus.Published as part of Niu, Gengyun & Wei, Meicai, 2013, Revision of the Siobla formosana group (Hymenoptera: Tenthredinidae), pp. 41-68 in Zootaxa 3746 (1) on page 51, DOI: 10.11646/zootaxa.3746.1.2, http://zenodo.org/record/28530
FIGURE 4, A–D. Elatostema androstachyum W. T. Wang Y. G. Wei & A in Additions to the Flora of China: three new species of Elatostema (Urticaceae) from Guangxi
No full textFIGURE 4, A–D. Elatostema androstachyum W. T. Wang Y. G. Wei & A. Monro: A, Habitat; B, Habit with staminate (centre) and pistillate inflorescences (bottom-right) visible; C, Pistillate inflorescence; D, Staminate inflorescence. (A–D by Yi-Gang Wei from the isotype)Published as part of Wei, Yi-Gang, Monro, A.K. & Wang, Wen-Tsai, 2013, Additions to the Flora of China: three new species of Elatostema (Urticaceae) from Guangxi, pp. 1-12 in Phytotaxa 147 (1) on page 7, DOI: 10.11646/phytotaxa.147.1.1, http://zenodo.org/record/510017
A Higher-Order Energy Expansion to Two-Dimensional Singularly Neumann Problems
No full textOf concern is the
following singularly perturbed semilinear elliptic problem
\begin{equation*}
\left\{ \begin{array}{c}
\mbox{ in }\\
\mbox{ in and on },
\end{array}
\right.
\end{equation*}
where is a bounded domain in with smooth
boundary , is a small constant and
. Associated with the
above problem is the energy functional defined by
\begin{equation*}
J_{\epsilon}[u]:=\int_{\Omega}\left(\frac{\epsilon^2}{2}{|\nabla
u|}^2 +\frac{1}{2}u^2 -F(u)\right)dx
\end{equation*}
for , where .
Ni and Takagi (\cite{nt1}, \cite{nt2}) proved that for a single
boundary spike solution , the following asymptotic
expansion holds:
\begin{equation*}
(1) \ \ \ \ \ \ \ \ J_{\epsilon}[u_{\epsilon}]=\epsilon^{N}
\left[\frac{1}{2}I[w]-c_1 \epsilon
H(P_{\epsilon})+o(\epsilon)\right],
\end{equation*}
where is the energy of the ground state, is a
generic constant, is the unique local maximum point
of and is the boundary mean
curvature function at . Later,
Wei and Winter (\cite{ww3}, \cite{ww4}) improved the result and
obtained a higher-order expansion of :
\begin{equation*}
(2) \ \ \ \ \ \ J_{\epsilon}[u_{\epsilon}]=\epsilon^{N}
\left[\frac{1}{2}I[\omega]-c_{1} \epsilon
H(P_{\epsilon})+\epsilon^2 [c_2(H(P_\epsilon))^2 +c_{3}
R(P_\epsilon)]+o(\epsilon^2)\right],
\end{equation*}
where and are generic constants and
is the scalar curvature at . However, if , the
scalar curvature is always zero. The expansion (2) is no longer sufficient to distinguish spike locations with same mean curvature.
In this paper, we consider
this case and assume that . Without loss of generality, we may assume that the
boundary near P\in\partial\Om is represented by the graph . Then we have the following higher order expansion of
\begin{equation*}
(3) \ \ \ \ \ J_\epsilon [u_\epsilon]
=\epsilon^N \left[\frac{1}{2}I[w]-c_1
\epsilon H({P_\epsilon})+c_2 \epsilon^2(H({P_\epsilon}))^2 ]
+\epsilon^3
[P(H({P_\epsilon}))+c_3S({P_\epsilon})]+o(\epsilon^3)\right],
\end{equation*}
where H(P_\ep)= \rho_{P_\ep}^{''} (0) is the curvature, is a polynomial,
, , and , , are generic real
constants and S(P_\epsilon)= \rho_{P_\ep}^{(4)} (0). In
particular . Some applications of this expansion are given
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