带p-Laplacian算子三点边值问题拟对称正解的多重性

The multiplicity of positive pseudo-symmetric solutions to a three-point boundary value problem of p-Laplacian equations

应用Avery-Peterson不动点定理,讨论了一类带p-Laplacian算子三点边值问题在非线性项f依赖于未知函数的一阶导数的情况下拟对称正解的多重性,得到了这类边值问题至少存在三个拟对称正解的充分条件.

By using Avery-Peterson theorem on convex cone, we consider the three-point boundary value problem for p-Laplace equations with the nonlinear term depending on the first order derivative, the resutlt of three positive pseudo-symmetric solutions are obtained.