Existence result of bounded variation solution for a perturbed 1-Laplacian and 1-biharmonic problem with vanishing potentials

Autor: Amoie, Mahsa, Alimohammady, Mohsen
Zdroj: Advances in Operator Theory; July 2024, Vol. 9 Issue: 3
Abstrakt: This work focuses on the investigation of a quasilinear elliptic problem in the entire space RN, which involves the 1-Laplacian and 1-biharmonic operators, as well as potentials that can vanish at infinity. This research is conducted within the space of functions with bounded variation. The main result is proven using a version of the mountain pass theorem that does not require the Palais-Smale condition.
Databáze: Supplemental Index