Infinitely many solutions for indefinite Kirchhoff equations and Schrodinger-Poisson systems

We obtain a sequence of solutions converging to zero for the Kirchhoff equation ( integral ) - 1+ vu2 increment u+V(x)u=f(u), uE H01(ohm) ohm via truncating technique and a variant of Clark's theorem due to Liu and Wang (2015), where ohm is a bounded smooth domain ohm C RN. Similar result for Schrodinger-Poisson system on a bounded smooth domain ohm C R3 is also presented. (c) 2023 Elsevier Ltd. All rights reserved.

Automated summary

This article obtains a sequence of solutions converging to zero for the Kirchhoff equation using truncating technique and a variant of Clark's theorem. The results are presented for both the Kirchhoff equation and the Schrödinger-Poisson system on a bounded smooth domain.