Existence of Solutions for Sublinear Kirchhoff Problems with Sublinear Growth

摘要

In this paper, we consider the following sublinear Kirchhoff problems -(a + b integral(RN)vertical bar del u vertical bar(2)dx)Delta u + V (x)u = f (x,u), in R-N, where a > 0 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.