Chan-Gyun Kim

Existence and iteration of positive solutions for multi-point boundary value problems on a half-line

In this study, using fixed point index theorems and monotone iterative techniques, we present iterative schemes as well as the existence of positive solutions to the m-point boundary value problem on a half-line.

Existence and multiplicity results for nonlinear boundary value problems

This paper studies the existence of positive solutions for a class of boundary value problems of elliptic degenerate equations. By using bifurcation and fixed point index theories in the frame of approximation arguments, the criteria of the existence, multiplicity and nonexistence of positive solutions are established.

Existence of the second positive radial solution for a p-Laplacian problem

We investigate the existence, nonexistence, and multiplicity of positive radial solutions for the p-Laplacian problem with boundary parameters. For proofs, we mainly use a combination of a fixed point theorem, the method of upper and lower solutions, and fixed point index theory in the frame of the ordinary differential equation (ODE) technique.

EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR p-LAPLACIAN PROBLEMS WITH A GENERAL INDEFINITE WEIGHT

This paper studies the existence of positive solutions for a class of singular boundary value problems of p-Laplacian. By using Global Continuation Theorem and the fixed point index technique, criteria of the existence, multiplicity and nonexistence of positive solutions are established.

Multiplicity Results of Positive Radial Solutions for -Laplacian Problems in Exterior Domains

We find the second positive radial solution for the following -Laplacian problem: in Ω, as , where , , and . We also give some global existence results with respect to the parameter .