摘要
通过切锥及局部微分同胚的概念,引入了一种新的边界条件的刻画方式,并给出了相应的构造伪梯度向量场的方法.针对非线性项在零点与无穷大处增长性发生变化的p-Laplace方程,应用得到了几个多临界点存在的结果.
By means of some concepts of tangent cone and local differmorphism,a different boundary condition and the appropriate way to construct the corresponding pseudo-gradient vector field were established.And several multiple critical points theorems were proved for the p-Laplace equation with a nonlinear term which has different rates at zero and infinity.
出处
《兰州大学学报(自然科学版)》
CAS
CSCD
北大核心
2011年第2期93-97,共5页
Journal of Lanzhou University(Natural Sciences)
基金
国家自然科学基金项目(11031003)
关键词
不变集
伪梯度流
本性局部凸
约束变分问题
invariant set
pseudo-gradient flow
essentially local convex
constraint variational problem AMS Subject Classifications(2000):58E50