Existence of positive solution for one-dimensional p-Laplace equation with multipoint boundary value and integral boundary conditions are considered.

The multiplicity of positive solutions is considered for a class of nonlinear one-dimensional p-Laplacian′s.

Multiplicity of Positive Radial Solutions for the p-Laplacian with Singular Sources;

The main purpose of this paper is to analyze the asymptotic behavior of the ground state solution of the following elliptic equation of p-Laplacian typewhereΩis a ball in R~n centered at the origin ,α> 0 , 1 < p < q < p* = np/n-p and△_pu = div(|▽u|~(p-2)▽u) is the p-Laplacian of u .

By using the perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta,the abstract results on the existence of solution u∈L~a(Ω)of nonlinear boundary value problems involving the p-Laplacian operator have been obtained, where(2N/N+1)＜p(?)s＜+∞,for N(?)1.

This paper deals with the existence of monotone positive solutions to a type of three point boundary value problems of nonlinear second-order differential equations with p-Laplacian operator.

In chapter 4, the existence of homoclinic solutions for the non-autonomous second system with p-Laplacian operator is discussed, where p > 1.