2 papers
math.AP2024
Existence of solution for two classes of quasilinear systems defined on a non-reflexive Orlicz-Sobolev Spaces
Lucas da Silva, Marco Souto
This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type \begin{equation*} \left\{\; \begin{aligned} -Δ_{Φ_{1}} u&=F_u(x,u,v)+λR_u(…
math.AP2022
Existence of positive solution for a class of quasilinear Schrödinger equations with potential vanishing at infinity on nonreflexive Orlicz-Sobolev spaces
L. da Silva, M. Souto
In this paper we investigate the existence of positive solution for a class of quasilinear problem on an Orlicz-Sobolev space that can be nonreflexive $$- Δ_Φ u +V(x)ϕ(|u|)u= K(x)f…