类Kirchhoff型方程正解的存在性
Existence of positive solutions for Kirchhoff type equation

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.
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