非线性(p,n-p)聚焦边值问题的正解

摘要

The positive solutions were considered for a class of nonlinear (p,n-p) focal boundary value problems where a nonlinear term was allowed to be singular at boundary points. By constructing the height functions of nonlinear term and considering the integrations of height functions, the existence of m positive solutions was proven where m was an arbitrary natural number.%考察了一类非线性(p,n-p)聚焦边值问题的正解,其中允许非线性项在边界点处奇异.通过构造非线性项的高度函数并且考察高度函数的积分证明了m个正解的存在性,其中m是一个任意的自然数.