具有p-Laplacian算子的奇异四阶积分边值问题的正解

Positive Solutions for Singular Fourth-Order Integral Boundary-Value Problem with $p$-Laplacian Operator

中文关键词:  p-Laplacian算子  奇异边值  积分条件  正解.

英文关键词:p-Laplacian operator  singular boundary value problems  integral boundary condition  positive solution.

中文摘要:

      利用上下解方法和不动点定理研究了具有$p$-Laplacian算子的奇异四阶积分边值问题的正解的存在性.本文非线性项允许在$t=0, 1$ 和$x=0$处具有奇异性.

英文摘要:

      In this paper, we investigate the existence of positive solutions for singular fourth-order integral boundary-value problem with $p$-Laplacian operator by using the upper and lower solution method and fixed point theorem. Nonlinear term may be singular at $t=0$ and/or $t=1$ and $x=0$.