Kirchhoff-Schrödinger equations in ${\mathbb{R}}^2$ with critical exponential growth and indefinite potential

Marcelo F. Furtado, Henrique R. Zanata

We obtain the existence of ground state solution for the nonlocal problem $$ m\left(\int_{\mathbb{R}^2}(|\nabla u|^2 + b(x)u^2) \textrm{d}x\right)(-Δu + b(x)u) = A(x)f(u) \ \ \ \te…