Stable solutions for weighted quasilinear Schrödinger equations in half-space with nonlinear boundary value conditions

B Rahal, A Ghallabi, S Zeng - Journal of Mathematical Analysis and …, 2025 - Elsevier
In this paper, we study the following quasilinear Schrödinger equation in half-space {− Δ u−
Δ (| u| 2 α)| u| 2 α− 2 u=‖ x‖ θ| u| q− 1 u in R+ n∂ u∂ η=‖ x′‖ γ| u| p− 1 ug 2 (u) on∂ …

Multi-Peak Solutions for Coupled Nonlinear Schrödinger Systems in Low Dimensions

M Zhen, B Zhang, VD Rădulescu - Applied Mathematics & Optimization, 2023 - Springer
In this paper, we construct the solutions to the following nonlinear Schrödinger system-ϵ 2 Δ
u+ P (x) u= μ 1 up+ β up-1 2 vp+ 1 2 in RN,-ϵ 2 Δ v+ Q (x) v= μ 2 vp+ β up+ 1 2 vp-1 2 in RN …

[PDF][PDF] Normalized solutions for the mixed dispersion nonlinear Schrödinger equations with four types of potentials and mass subcritical growth

C Ma - Rn, 2023 - aimspress.com
Normalized solutions for {the mixed dispersion nonlinear Schr\"{o}dinger equations} with four
types of potentials and { Page 1 http://www.aimspress.com/journal/era ERA, 31(7): 3759–3775 …