Positive Solution of a Semilinear Elliptic Equation on RN

In this paper, we obtain the existence of positive solution of {-Δu = b(x)(u - λ)^p_+,\qquad x ∈ R^N λ > 0, |∇ u| ∈ L² (R^N),\qquad u ∈ L\frac{2N}{N-2} (R^N) under the assumptions that 1 < p < \frac{N+2}{N-2}, N ≥ 3, b(x) satisfies b(x) ∈ C(R^N), b(x) > 0 in R^N b(x) →_{|x|→∞}b^∞ and b(x) > \frac{4}{p+3}b^∞ for x ∈ R^N     

Decay Properties of Global Solutions for Benjamin-Ono Equation of High Order

The decay properties of global solutions for the Benjamin-Ono equation of high order are obtained as |x| → ∞. An Iorio's type result is derived for this equation.     

热爆炸临界参数的数值解法

本文提出的热爆炸临界参数的数值解法是一种变分方法.这种方法依据的是文献[1]给出的热爆炸临界参数的一个变分原理。数值计算的结果表明,这种方法是一种简便、经济而又精确度较高的方法。     

The study of chamber rockburst by the CUSP model of catastrophe theory

ＴＨＥＳＴＵＤＹＯＦＣＨＡＭＢＥＲＲＯＣＫＢＵＲＳＴＢＹＴＨＥＣＵＳＰＭＯＤＥＬＯＦＣＡＴＡＳＴＲＯＰＨＥＴＨＥＯＲＹＰａｎＹｉ－ｓｈａｎ（潘一山）,ＺｈａｎｇＭｅｎｇ－ｔａｏ（章梦涛）,ＬｉＧｕｏ－ｚｈｅｎｇ（李国臻）（ＦｕｘｉｎＭｉｎｉｎｑＩｎｓ...     

骨断裂力学概述

本文涉及近年来骨断裂力学的发展成果.对建立在张开型和剪切型断裂能基础上的方法作了回顾,并讨论了密度、试件厚度和裂纹速度对骨断裂的影响.最后简述了人股骨的试验研究.      

Pinpoint calculation of tooth deflection on spur gear by means of method of complex variables in plane elasticity

This paper ineorporated and developed the method originated by AIDA.TERACCHI. and NAGAMUYA. to which a high value is set presently at home andabroad, in which the stress and deflection of tooth on spurgears are calculated by means ofthe method of complex variables in plane elasticity. In this paper, their approximatesolution was developed to become exact solution. The accuracy of the mapping shape oftooth was increased. It was mentioned that the mapping function was expressed by fivefractional terms. with the mapping error being less than 1%m.A calculating principle wasproposed to find out the displacement of contact point in relation to central line of theadjacent gear tooth affecting the quality of mesh of gears directly.The computer programwas made, and according to the computed results.the figures were given so that thedisplacement of the contact point in the normal direction can be calculated conveniently forengineering calculation.     

The method of matrices conjoint multiplication for the problem of circular arc corrugated diaphragm

The circular are corrugated diaphragins are taken in this paper and structures of several sections of the ring shells and a central cireular plale I matrices and link matrices are derived by using Prof. Chuen Hei-zang’s general the ring shell[1] and perturbation theory of the circular thin plates. Throngh the meined of matrices conjoint multiplication, the linear exact solution and nonlinear soluaen are obtained. The resutts agree with that of the experiments presented by W. A. Wildhack..     

Chains in Critical Fluids and Nanopores

Summary: The conformational behavior of a polymer in a critical binary solvent confined in a porous medium is studied. The size of the polymer in bulk, which is mainly governed by the correlation length of the solvent density fluctuations, depends on the proximity to the critical point of the binary mixture. We find that in contrast to the bulk behavior, the conformational properties of the polymer in a porous medium depends strongly on the pore size. The latter controls the correlation length of the solvent density fluctuations and thus determines the polymer size.     

Self‐Assembly of Poly(γ‐benzyl L‐glutamate)‐graft‐Poly(ethylene glycol) and Its Mixtures with Poly(γ‐benzyl L‐glutamate) Homopolymer

Summary: Self‐association behaviors of poly(γ‐benzyl L ‐glutamate)‐graft‐poly(ethylene glycol) (PBLG‐graft‐PEG) and its mixtures with PBLG homopolymer in aqueous media were investigated by fluorescence spectroscopy, transmission electron microscopy (TEM), and nuclear magnetic resonance (NMR) spectroscopy. It was revealed that PBLG‐graft‐PEG could self‐assemble to form polymeric micelles with a core‐shell structure in the shape of spindle. The introduction of PBLG homopolymer not only decreases the critical micelle concentration, but also changes the morphology of the micelles.

The excitation fluorescence spectra of pyrene as a function of concentrations for the mixture of PBLG‐graft‐PEG with PBLG and a TEM image of the formed micelles.     

High-temperature series analysis of the p-state Potts glass model on d-dimensional hypercubic lattices

We analyze recently extended high-temperature series expansions for the “Edwards-Anderson” spin-glass susceptibility of the p-state Potts glass model on d-dimensional hypercubic lattices for the case of a symmetric bimodal distribution of ferro- and antiferromagnetic nearest-neighbor couplings . In these star-graph expansions up to order 22 in the inverse temperature , the number of Potts states p and the dimension d are kept as free parameters which can take any value. By applying several series analysis techniques to the new series expansions, this enabled us to determine the critical coupling K_c and the critical exponent of the spin-glass susceptibility in a large region of the two-dimensional (p,d)-parameter space. We discuss the thus obtained information with emphasis on the lower and upper critical dimensions of the model and present a careful comparison with previous estimates for special values of p and d. Received: 25 May 1998 / Revised and Accepted: 11 August 1998