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Maatouk, Soufiane; El Hachimi, Abderrahmane
Complex variables and elliptic equations, 12/2021, Letnik: 66, Številka: 12Journal Article
In this paper, we consider the quasilinear elliptic problem with potential where Ω is a smooth bounded domain in ( ), V is a given function in a generalized Lebesgue space , and is a Carathéodory function satisfying suitable growth conditions. Using variational arguments, we study the existence of weak solutions for in the framework of Musielak-Sobolev spaces. The main difficulty here is that the nonlinearity considered does not satisfy the well-known Ambrosetti-Rabinowitz condition.
