吉林大学学报(理学版)2012,Vol.50Issue(5):842-846,5.
一类带梯度项椭圆方程解的存在性
Existence of Nontrivial Solution of a Class of Elliptic Equation with Gradient Term
摘要
Abstract
We considered the existence of nontrivial solution of Dirichlet problem for a class of elliptic equation with gradient term by applying mountain pass theorem and iterative method, and we obtain the existence of positive and negative solutions for this problem with asymptotically linear growth of rigthand side nonlinear term.关键词
带梯度项椭圆方程/山路定理/迭代方法Key words
elliptic equation with dependence on the gradient/ mountain pass theorem/ iterate methods分类
数理科学引用本文复制引用
刘广刚,韦玉程..一类带梯度项椭圆方程解的存在性[J].吉林大学学报(理学版),2012,50(5):842-846,5.基金项目
吉林大学研究生创新基金(批准号:20111036). (批准号:20111036)