| 一类p-Laplacian方程边值问题正解的存在性 |
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| 引用本文： | 完巧玲.一类p-Laplacian方程边值问题正解的存在性[J].甘肃科学学报,2010,22(2):13-16. |
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| 作者姓名： | 完巧玲 |
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| 作者单位： | 陇东学院,数学系,甘肃,庆阳,745000 |
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| 基金项目： | 甘肃省高校研究生导师科研基金 |
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| 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))=0,0t1u′(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.
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| 关 键 词： | p-Laplacian算子 不动点指数理论 正解 边值问题 |
Existence of Positive Solutions for Boundary Value Problem with p-Laplacian Based on Nonlinear Terms Sign-Changing |
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| WAN Qiao-ling.Existence of Positive Solutions for Boundary Value Problem with p-Laplacian Based on Nonlinear Terms Sign-Changing[J].Journal of Gansu Sciences,2010,22(2):13-16. |
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| Authors: | WAN Qiao-ling |
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| Institution: | WAN Qiao-ling(Department of Mathematics,Longdong university,Qingyang 745000,China) |
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| Abstract: | 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. |
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| Keywords: | p-Laplacian operator the fixed point index theory Positive solutions Boundary value problem |
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