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Ground state solutions and multiple positive solutions for nonhomogeneous Kirchhoff equation with Berestycki-Lions type conditions

Huang Lanxin, Su Jiabao

Demonstratio Mathematica

2024

Vol. 57, nr 1

art. no. 20240068

This article is concerned with the following Kirchhoff equation: [formula], where a and b are positive constants and h ≠ 0. Under the Berestycki-Lions type conditions on g, we prove that the equation has at least two positive solutions by using variational methods. Furthermore, we obtain the existence of ground state solutions.