Concentrating ground state for linearly coupled Schrödinger systems involving critical exponent cases
We study the following linearly coupled Schrödinger system:{− Δ u+(μ V 1 (x)+ a) u= f (x)| u|
p− 2 u+ β (x) v, x∈ RN,− Δ v+(μ V 2 (x)+ b) v= g (x)| v| 2⁎− 2 v+ β (x) u, x∈ RN, where N≥ 3 …
p− 2 u+ β (x) v, x∈ RN,− Δ v+(μ V 2 (x)+ b) v= g (x)| v| 2⁎− 2 v+ β (x) u, x∈ RN, where N≥ 3 …
Coupled Elliptic systems with sublinear growth
J Arratia, P Ubilla - Nonlinear Analysis, 2025 - Elsevier
Consider the coupled elliptic system− Δ u+ u= ρ 1 (x) up 1+ λ v in RN− Δ v+ v= ρ 2 (x) vp 2+ λ
u in RN, u (x), v (x)→ 0 as| x|→∞. We observe that in 2008, A. Ambrosetti, G. Cerami and D …
u in RN, u (x), v (x)→ 0 as| x|→∞. We observe that in 2008, A. Ambrosetti, G. Cerami and D …
Ground states for a linearly coupled indefinite Schrödinger system with steep potential well
In this paper, we study a class of linearly coupled Schrödinger systems with steep potential
wells, which arises from Bose–Einstein condensates. The existence of positive ground …
wells, which arises from Bose–Einstein condensates. The existence of positive ground …
Existence and asymptotic behavior of solutions for a class of semilinear subcritical elliptic systems
SCQ Arruda, GM Figueiredo… - Asymptotic …, 2022 - content.iospress.com
Existence and asymptotic behavior of solutions for a class of semilinear subcritical elliptic
systems - IOS Press You are viewing a javascript disabled version of the site. Please enable …
systems - IOS Press You are viewing a javascript disabled version of the site. Please enable …
Locations of spikes for linearly coupled Schrödinger systems.
K Jin, Z Shen, L Wang - Mathematical Methods in the …, 2021 - search.ebscohost.com
In this paper, we consider the following Schrödinger system with linearly coupled terms:−
ε2Δu+ u=| u| 2u+ λvinΩ,(A1)− ε2Δv+ v=| v| 2v+ λuinΩ, where ε > 0, 0 < λ < 1, and Ω is a …
ε2Δu+ u=| u| 2u+ λvinΩ,(A1)− ε2Δv+ v=| v| 2v+ λuinΩ, where ε > 0, 0 < λ < 1, and Ω is a …