四阶p-Laplacian边值问题正解的存在性（英文）

This paper investigates the existence of positive solutions for a fourth-order p-Laplacian nonlinear equation. We show that, under suitable conditions, there exists a positive number λ~*such that the above problem has at least two positive solutions for 0 λ λ~* , at least one positive solution for λ = λ~* and no solution forλ λ~* by using the upper and lower solutions method and fixed point theory.