摘要
考虑p-Kirchhoff型方程解的多重性.应用变分法,结合非线性项在零点和无穷远处的渐近性态,当Ambrosetti-Rabinowitz条件不满足时得到了p-Kirchhoff型方程解的存在性.
This paper deals with the multiplicity of solutions of p-Kirchhoff type equations.With the help of the variational method,together with the asymptotic behavior of the nonlinearity at zero and infinity,the existence of the solution of p-Kirchhoff type equation is established when the Ambrosetti-Rabinowitz condition is not required.
出处
《吉林大学学报(理学版)》
CAS
CSCD
北大核心
2013年第4期580-584,共5页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11071026)
吉林省自然科学基金(批准号:201215038
201215184)
关键词
变分法
正解
负解
p-Kirchhoff型方程
生物种群密度
variational method
positive solution
negative solution
p-Kirchhoff type equation
biological population density