Background: Orcinol-β-D-glucoside, which is also known as orcinol glucoside, is a major phenolic glucoside compound in the rhizome of the Curculigo orchioides Gaertn. This compound has many medicinal properties such as being antioxidant, immunomodulatory, antiosteoporosis, stress relief, antidepressant, etc. Methods: Determination of reducing sugar content by Bertrand's method, determination of lipid content by Soxhlet method, determination of vitamin C content by iodine titration, determination of enzyme activity catalase by titration with KMnO4. Quantification of Orcinol-β-D-glucoside was conducted by HPLC analysis.
Results:The Orcinol-β-D-glucoside of C. orchioides in Thuy Bang mountain was highest. Besides, the content of reducing sugars, vitamin C, enzyme catalase, and lipids of C. orchioides differed significantly among sites. In which, the reducing sugar and vitamin C of C. orchioides in Ngu Binh mountain was highest. Whereas, enzyme catalase was also highest in Thuy Bang mountain. However, the lipid content of C. orchioides was also highest in Huong Tho mountain. Conclusions: The result will contribute to providing the scientific basis for the selection of breeding, planting, development of C. orchioides in Thua Thien Hue province, as well as other provinces in Vietnam and opening new research directions for applications in the future.
We study the fractional parabolic Lichnerowicz equation
$$ \begin{align*} v_t+(-\Delta)^s v=v^{-p-2}-v^p \quad\mbox{in } \mathbb R^N\times\mathbb R \end{align*} $$
where
$p>0$
and
$ 0<s<1 $
. We establish a Liouville-type theorem for positive solutions in the case
$p>1$
and give a uniform lower bound of positive solutions when
$0<p\leq 1$
. In particular, when v is independent of the time variable, we obtain a similar result for the fractional elliptic Lichnerowicz equation
$$ \begin{align*} (-\Delta)^s u=u^{-p-2}-u^p \quad\mbox{in }\mathbb R^N \end{align*} $$
with
$p>0$
and
$0<s<1$
. This extends the result of Brézis [‘Comments on two notes by L. Ma and X. Xu’, C. R. Math. Acad. Sci. Paris349(5–6) (2011), 269–271] to the fractional Laplacian.
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