Infinitely many solutions for Kirchhoff equations with indefinite potential

Shuai Jiang, Shibo Liu

We obtain a sequence of solutions converging to zero for the Kirchhoff equation $$-\left( 1+\int_Ω\left\vert \nabla u\right\vert^2\right) Δu+V(x)u=f(u)\text{,\qquad}u\in H_{0}^{1}(…