奇异扰动的p-Laplace方程非负非平凡解和正解的结构  

Structure of Nonnegative Nontrivial and Positive Solutions of Singularly Perturbed p-Laplace Equations

作　　者：张正策[1] 李开泰[1] 

机构地区：[1]西安交通大学理学院,西安710049

出　　处：《应用数学和力学》2004年第8期847-854,共8页Applied Mathematics and Mechanics

基　　金：国家重点基础研究专项基金资助项目(1999032801);国家自然科学基金资助项目(10371095)

摘　　要：　精确地刻画了某些奇异扰动的p＿Laplace方程非负非平凡解和正解的结构·　利用上下解方法证明。Structure of nonnegative nontrivial and positive solutions was precisely studied for some singularly perturbed p-Laplace equations. By virtue of sub- and supersolution method, it is shown that there are many nonnegative nontrivial spike-layer solutions and positive intermediate spike-layer solutions. Moreover, the upper and lower bound on the measure of each spike-layer were estimated when the parameter is sufficiently small.

关 键 词：P-LAPLACE方程 非负非平凡解 正解 尖峰解 上下解 

分 类 号：O175.25[理学—数学]