郑州大学学报（理学版）2008，Vol.40Issue(3)：6-10,5.
非线性项介于特征值之间的一类抛物方程解的多重性
Multiplicity Results for a Parabolic Equation with Nonlinearities Crossing Eigenvalues
摘要
Abstract
Multiplicity of solutions for a nonlinear perturbation of a parabolic operator under Dirichlet boundary condition in a bounded domain is investigated.The variational reduction method is used to reduce the problem from an infinite dimensional one to a finite one,and then a relationship between multiplicity of solution and source terms in equation is revealed when nonlinearities cross eigenvalues.关键词
特征值/压缩映象原理/变分方法Key words
eigenvalue contraction mapping theorem/variational reduction method分类
数理科学引用本文复制引用
燕艳菊,杨金花,金正国..非线性项介于特征值之间的一类抛物方程解的多重性[J].郑州大学学报（理学版）,2008,40(3):6-10,5.基金项目
国家自然科学基金资助项目,编号10471018. （）
