Nonlocal Kirchhoff superlinear equations with indefinite nonlinearity and lack of compactness

Lin Li, Vicenţiu D. Rădulescu, Dušan D. Repovš

We study the following Kirchhoff equation $$-\left(1+b{\int }_{{\mathbb{R}}^3}|\nabla u{|}^{2}dx\right)\Delta u+V(x)u=f(x,u),x\in {\mathbb{R}}^3.$$ A special feature of this paper…