具双曲动力边界的拟线性椭圆方程解的爆破  

Blow-up of solutions for quasi-linear elliptic equations with dynamical boundary conditions of hyperbolic type

作　　者：韩献军[1] 刘冰[2] 张宏伟[2] 

机构地区：[1]河南城建学院数理系,河南平顶山467036 [2]河南工业大学理学院,河南郑州450001

出　　处：《河南城建学院学报》2010年第5期65-68,共4页Journal of Henan University of Urban Construction

基　　金：河南省自然科学基金(102300410118);河南城建学院科研基金(2010JYB018)

摘　　要：讨论了一类拟线性椭圆方程具双曲动力边界的初边值问题,利用凸性方法给出了该拟线性椭圆方程具双曲动力边界非线性源项时解爆破的充分条件.A class of quasi - linear elliptic equation with dynamical boundary conditions is discussed. Sufficient conditions for existence of blow- up solutions to quasi - linear elliptic equations with nonlinear dynamical boundary source term of hyperbolic type are obtained by means of the concavity argument.

关 键 词：拟线性椭圆方程 动力边界条件 凸性方法 爆破 

分 类 号：O175.29[理学—数学]