RESULTS ON POSITIVE SOLUTIONS OF ELLIPTIC EQUATIONS WITH A CRITICAL HARDY-SOBOLEV OPERATOR ∗ (2009)
Dedicated to Neil Trudinger with respect and friendship on the occasion of his sixty fifth birthday Key words. Hardy-Sobolev operator, uniqueness, entire solutions. AMS subject classifications....
On the Webster scalar curvature problem on the CR sphere with a cylindrical-type symmetry (2008)
Cao, Daomin, Peng, Shuangjie, Yan, Shusen
By variational methods, for a kind of Webster scalar curvature problems on the CR sphere with cylindrically symmetric curvature, we construct some multi-peak solutions as the parameter is...
Wang, Wei, Cao, Daomin, Duan, Jinqiao
An effective macroscopic model for a stochastic microscopic system is derived. The original microscopic system is modeled by a stochastic partial differential equation defined on a domain perforated...
Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity (2006)
Sun, Chunyou, Cao, Daomin, Duan, Jinqiao
The authors consider non-autonomous dynamical behavior of wave-type evolutionary equations with nonlinear damping and critical nonlinearity. These type of waves equations are formulated as...
Uniform attractors for non-autonomous wave equations with nonlinear damping (2006)
Sun, Chunyou, Cao, Daomin, Duan, Jinqiao
We consider dynamical behavior of non-autonomous wave-type evolutionary equations with nonlinear damping, critical nonlinearity, and time-dependent external forcing which is translation bounded but...
Positive solutions to a second order multi-point boundary-value problem (2000)
We prove the existence of positive solutions to the boundary-value problem $$ displaylines{ u''+lambda a(t)f(u,u')=0 cr u(0)=0,quad u(1)=sum^{m-2}_{i=1} a_i u(xi_i) ,, }$$ where $a$ is a continuous...