%0 Journal Article %T 类Kirchhoff型方程正解的存在性<br>Existence of positive solutions for Kirchhoff type equation %A 蓝永艺 %J 四川大学学报 (自然科学版) %D 2015 %X 本文考虑具有Dirichlet边值条件的非线性Kirchhoff型问题 -(a+bu2dx)Δu=f(x,u),在非线性项f适当的假设条件下给出了该Kirchhoff型问题至少存在一个正解.<br>We show that the following nonlinear Kirchhoff type problem-a+bu2dxΔu=f(x,u) with Dirichlet boundary value has at least one positive solution under suitable assumptions on the nonlinear term f. The main tools are variational method,critical point theory and some analysis techniqu %K Kirchhoff型方程 次临界增长 变分法< %K br> %K s.Kirchhoff type equation Subcritical growth Variational methods %U http://science.ijournals.cn/jsunature_cn/ch/reader/view_abstract.aspx?file_no=20156004&flag=1