Ground state solutions of discrete asymptotically linear Schrödinger equations with bounded and non-periodic potentials

G Lin, Z Zhou, J Yu - Journal of Dynamics and Differential Equations, 2020 - Springer
We study the existence of ground state solutions for a class of discrete nonlinear
Schrödinger equations with a sign-changing potential V that converges at infinity and a …

Existence of solutions for a class of quasilinear equations with vanishing potentials

GSA Costa - Applicable Analysis, 2023 - Taylor & Francis
We show the existence of positive solutions for a class of p & q problems given by {− div (a
(|∇ u| p)|∇ u| p− 2∇ u)+ V (x) b (| u| p)| u| p− 2 u= μ f (u)+ uq∗− 1 in RN, u∈ D 1, p (RN)∩ D …

Existence of positive solutions for equations involving vanishing potentials with exponential decay

GS Costa, GM Figueiredo - Differential and Integral Equations, 2023 - projecteuclid.org
We show the existence of positive solutions for a class of p\&q problems given by-div\left
(a\left (| ∇ u|^ p\right)| ∇ u|^ p-2 ∇ u\right)+ V (z) b\left (| u|^ p\right)| u|^ p-2 u= f (u)\in R^N,\u …

Nonautonomous and non periodic Schrödinger equation with asymptotic growth in Rn

MB Cardoso - 2024 - realp.unb.br
Nonautonomous and non periodic Schrödinger equation with asymptotic growth in RN
Page 1 Nonautonomous and non periodic Schrödinger equation with asymptotic growth in …