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.
出处
《应用数学和力学》
EI
CSCD
北大核心
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)
关键词
P-LAPLACE方程
非负非平凡解
正解
尖峰解
上下解
p-Laplace equation
nonnegative nontrivial solution
positive solution
spike-layer solution
sub- and supersolution
