Resumen de Bounded Variation Solution for a Class of Kirchhoff Type Problem Involving the 1-Laplacian Operator

Rui Liu, Lin Li, Donal O'Regan

• In this work, we study the existence of a nontrivial bounded variation solution to a class of nonlocal elliptic problems of Kirchhoff type involving the 1-Laplacian operator in the whole space RN and we will work with the space of functions of bounded variation. The Mountain Pass Theorem shows the existence of a nontrivial solution when f is an asymptotically constant nonlinearity.