In this paper,we study the following Kirchhoff type problem:{-M(∫_(R^(N))|▽u|^(2)dx)△u=λa(x)f(u),x∈R^(N),u=0 as|x|→+∞.Unilateral global bifurcation result is established for this problem.As applications of the ...In this paper,we study the following Kirchhoff type problem:{-M(∫_(R^(N))|▽u|^(2)dx)△u=λa(x)f(u),x∈R^(N),u=0 as|x|→+∞.Unilateral global bifurcation result is established for this problem.As applications of the bifurcation result,we determine the intervals ofλfor the existence,nonexistence,and exact multiplicity of one-sign solutions for this problem.展开更多
基金Supported by the National Natural Science Foundation of China(11561038)。
文摘In this paper,we study the following Kirchhoff type problem:{-M(∫_(R^(N))|▽u|^(2)dx)△u=λa(x)f(u),x∈R^(N),u=0 as|x|→+∞.Unilateral global bifurcation result is established for this problem.As applications of the bifurcation result,we determine the intervals ofλfor the existence,nonexistence,and exact multiplicity of one-sign solutions for this problem.
