一类p-Laplacian方程边值问题正解的存在性  

Existence of Positive Solutions for Boundary Value Problem with p-Laplacian Based on Nonlinear Terms Sign-Changing

作　　者：完巧玲[1] 

机构地区：[1]陇东学院数学系,甘肃庆阳745000

出　　处：《甘肃科学学报》2010年第2期13-16,共4页Journal of Gansu Sciences

基　　金：甘肃省高校研究生导师科研基金(0810-03)

摘　　要：利用不动点指数理论,考虑了边值问题{(BVP)(φp(u′(t)))′+f(u(t))=0,0<t<1u′(0)=u(1)=0在非线性项f可变号的情况下2个正解存在的充分条件,推广和改进了现有文献的结果.This paper deals with the p-Laplacian equation：{（φp（u＇（t）））＇＋f（u（t））=0,0〈t〈1 u＇（0）=u（1）=0,where φp（x）=｜x｜^p-2x,p〉1.By using the fixed point index theory in cones,sufficient conditions for the existence of at least two positive solutions to the boundary value problem mentioned above are established.The present results are generalized and improved.

关 键 词：P-LAPLACIAN算子 不动点指数理论 正解 边值问题 

分 类 号：O175.8[理学—数学]