Existence of Solutions for Sublinear Kirchhoff Problems with Sublinear Growth

摘要

In this paper, we consider the following sublinear Kirchhoff problems -a+b∫RN?u2dxΔu+V(x)u=f(x,u), in RN, where a0 and b≥0 with N≥3. A new sublinear growth condition is given. When f(x,u) is not odd in u and not integrable in x, we obtain the existence of solutions for the above problem.