一维奇异p-Laplacian三点边值问题正解的存在性

Existence of Positive Solutions for One-Dimensional Singular p-Laplacian Three-Point Boundary Value Problems

利用非线性Leray-Schauder抉择定理和锥不动点定理,在假设条件下证明一维非线性奇异p-Laplacian三点边值问题解的存在性.结果表明,在区间(0,1]上至少存在一个正解.

By means of nonlinear Leray-Schauder alternative theorem and fixed point theorem in cones, the authors proved the existence of the solutions for one-dimensional singular p-Laplacian three-point boundary value problems under assumptive conditions. There is at least one positive value in the interval from zero to one.