Assume that (E' ,j,X) is a Lip n-microbundle, {U1,U2} is an open cover of X,ξ= (E1, j, U1) a Lip n-bundle and ξ2 = (E2 = U2×Rn,P1,U2) is the standard trivial Lip n-bundle.
With the aids of variational methods and delicate estimates, the existence of nontrivial solutions is obtained for elliptic equations with singular potential-△u-μ u/|x|2=|u|2*(s)-2u/|x|s+ λu,u∈H0 (1,2)(Ω)where Ωis an open bounded domain with smooth boundary,μ,λA are two positive parameters.
By using the variational method, we discuss the existence of solution of the boundary value problem-△pu=μQ(x)|u|p-2u+f(x,u), u∈D01,p(Ω), where Ω is an open set of RN, 1
The existence of infinitely many solutions for the p Laplace Dirichlet problem is dealt with, - div (|u| p-2 u)=λ|u| q-2 u+μ|u| α-2 u,u∈W 1,p 0(Ω), when λ>0 or μ>0 , where Ω is an open bounded subset in R N and 1
The microwave properties of Ba(Mg_(1/3)Ta_(2/3))O_3 type ceramic materials were investigated by using the Hakki-Coleman opened resonator method. The results listed follow:BMT 系,ε=24.79, Qf=143000(10.10GHz),τf=0.0075×10~(-6)/℃;
③Digesting pLXSN-mB7-1 by enzyme XhoI and BamHI to gain the opened plasmid pLXSN-mB7-1 with ambly end and BamHI sticking end; Inserting IRES-mB7-2 gene fragment into it to gain the double expressing vector pLXSN-mB7-1-IRES-mB7-2;
The infection rate of doctor and nurse infected by SARS showed great variation between central air conditioning and with door and window opened in ICU (χ2=11.05,P< 0.005).
It also showed a marked different in the infection rate among three different conditions: windows opened+air cleaner, lamina ventilation and air conditioning +air cleaner(χ2=28.17,P< 0.005).
The findings were as follows: the point of the needle's entry was opened at the outside from the rear of the middle line. The farthest one was L_4: 71.12±10.07mm.
We also show how to distinguish examples of open subsets with a good quotient coming from Mumford's theory and give examples of open subsets with non-quasi-projective quotients.
An improved visualization device made of polymethyl methacrylate (PMMA) was used to study the 3D flow profile inside conical columns of a 10° opening angle packed with C18 phase.
Phthalides have primarily undergone two ESI CID pathways: side-chain cleavage with losses of alkenes and ring-opening with eliminations of H2O followed by losses of CO.
Transmission Electron Microscopy (TEM) images further verified the formation of MCM-48 with uniform cubic pore channel system having the pore opening diameter of about 25 ?.
The cationic ring-opening copolymerization of AMO with another oxetane-derived monomer, 3-(2-(2-(2-methoxyethylenoxy)ethylenoxy)ethylenoxy)-3'-methyloxetane (MEMO) was conducted in CH2Cl2 solution using BF3 · OEt2/1,4-butanediol as a co-initiator.
When n is prime, we show that there exists an open, dense subset with full-measure of such generating vectors with the property that any subset of n vectors in the
Generally, fundamental research on traditional mechanisms is enhanced; mechanism and creative design of products are closely combined; modern mechanism with advanced and new technology is opened up; and mechanism is promoted to modernization.