一类椭圆方程的粘性凸解  

The Convex Viscosity Solutions to Some Elliptic Equations

作　　者：李丽花[1] 

机构地区：[1]上海电力学院数理系,上海200090

出　　处：《上海电力学院学报》2008年第1期91-93,共3页Journal of Shanghai University of Electric Power

基　　金：上海高校选拔培养优秀青年教师科研专项基金(Z-2006-89)

摘　　要：对于某些半线性椭圆方程,如果方程的解满足Dirichlet边界条件且非线性项满足一定的条件,则可利用粘性包络证明这类问题的解的函数均为凹函数.In the case of some semilinear elliptic equations, it is proved that if the solution to the equation satisfies Dirichlet boundary condition and nonlinear term satisfies the certain conditions, the functions of the solution are concave by using the viscosity envelope.

关 键 词：粘性包络 粘性解 凹性 

分 类 号：O175.25[理学—数学]