一类带梯度项椭圆方程解的存在性OA北大核心CSCDCSTPCD
Existence of Nontrivial Solution of a Class of Elliptic Equation with Gradient Term
用山路定理和迭代方法讨论一类带梯度项椭圆方程Dirichlet问题非平凡解的存在性,在右端非线性项渐近线性增长的情形下证明了该问题正解和负解的存在性.
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.
刘广刚;韦玉程
吉林大学数学学院,长春130012吉林大学数学学院,长春130012
数理科学
带梯度项椭圆方程山路定理迭代方法
elliptic equation with dependence on the gradient mountain pass theorem iterate methods
《吉林大学学报（理学版）》 2012 (5)
842-846,5
吉林大学研究生创新基金(批准号:20111036).
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