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in this paper, we investigate the existence of positive solutions for the ellipticequation $delta^{2},u+c(x)u = lambda f(u)$ on a bounded smooth domain $omega$ of $r^{n}$, $ngeq2$, with navier boundary conditions. we show that there exists an extremal parameter$lambda^{ast}>0$ such that for $lambda< lambda^{ast}$, the above problem has a regular solution butfor $lambda> lambda^{ast}$, the probl...

SIR, The prevalence of the urinary infections in patients with autosomal dominant polycystic kidney disease (ADPKD) is abnormally high. Pyocyst in patients with ADPKD is a very serious and potentially fetal infection. Diagnosis and treatment of this rare complication is hampered by the problems in the delicate identification of the infected cysts and poor penetration of the systemically used an...

Cationic gemini surfactant dimethylene-1,2-bis(dodecyldiethylammonium bromide), referred to as C12C2C12(Et) was synthesized, and its surface property and aggregation behavior in aqueous solution were studied. The value of γ at the critical micelle concentration (γcmc) is much smaller than that of the surfactant homologues with longer spacer. Spherical and elongated micelles were formed in the a...

Massive use of motorcycle is a signature of Eastern-Asia developing countries. This is may be termed a motorcycle dominant environment. Although the use of motorcycles is likely to provide many benefits to the riders, it also produces many serious transport issues for the community. To find out the solution, an understanding of traveller behaviour is necessary. Travel demand modelling then beco...

Dynamic multi-resource fair allocation has been a hot topic for fair division. Most recently, Kash, Procaccia and Shah (Journal of Articial Intelligence Research 51: 579-603, 2014) proposed a dynamic dominant resource fairness (DRF) mechanism, and designed a water-filling algorithm to find a dynamic DRF solution. However, the running time of water-filling algorithm is pseudo-polynomial. In this...