Multiple positive solutions for a class of Kirchhoff type equations in R N $\mathbb{R}^{N}$

Abstract

In this paper, we study the following nonlinear Kirchhoff type equation:where a, b, V are positive constants, N = 2 or 3. Under appropriate assumptions on f and h, we get that the equation has two positive solutions by using variational methods. MSC: 35J60; 35B09; 35A15