带P-Laplacian算子的四点四阶奇异边值问题的对称正解

Symmetric Positive Solutions of Fourth-order Four-point Boundary Value Problems with P-Laplacian Operator

本文主要利用上下解方法和Schauder不动点定理,在更广泛的条件下研究了一类带P-Laplacian算子的四点四阶奇异边值问题的对称正解的存在性.克服了对非线性微分算子[(?)_p(u″)]″Fredholm抉择定理和极大值原理不能使用的困难,改进并推广了最近的一些已知结果.

This paper is concerned with the fourth-order singular BPVs. Under a general assumption, the existence of symmetric positive solution are obtained by the method of upper-lower solutions and Schauder＇s fixed point theorem. Predholm alternative theorem and minimax theorems are invalid here and our results generalize many recent studies.