具非线性源和非局部边值条件的一维p-Laplace方程非负非平凡解的存在性  

Existence of non-trivial nonnegative solutions of the one-dimensional p-Laplacian equation with nonlinear sources and nonlocal boundary condition

作　　者：柯媛元[1] 黄锐[1] 王春朋[1] 

机构地区：[1]吉林大学数学研究所,长春130012

出　　处：《吉林大学学报（理学版）》2004年第3期359-360,共2页Journal of Jilin University:Science Edition

摘　　要：研究一类具非线性源和非局部边值条件的一维p Laplace方程,利用锥不动点定理证明了非负非平凡解的存在性.The present paper deals with the existence of non-trivial nonnegative solutions of a nonlocal boundary value problem for the p-Laplacian equation with nonlinear sources. The proof is based on the fixed point theorem in a cone.

关 键 词：非局部边值问题 非负非平凡解 锥不动点定理 

分 类 号：O175.8[理学—数学]