On existence and concentration of solutions for Hamiltonian systems involving fractional operator with critical exponential growth

This paper is concerned with the existence and concentration of ground state solutions for the following class of fractional Schrödinger system (−Δ)1/2u+(λa(x)+1)u=Hv(u,v)inR,u,v∈H1/2(R),(−Δ)1/2v+(λa(x)+1)v=Hu(u,v)inR,u,v∈H1/2(R),\begin{align*} \hspace*{44pt}(-\Delta )^{1/2}u + (\lambda a(x) + 1)u=...

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Veröffentlicht in:	Mathematische Nachrichten 2022-08, Vol.295 (8), p.1480-1512
Hauptverfasser:	Costa, Augusto C. R., Maia, Bráulio B. V., Miyagaki, Olímpio H.
Format:	Artikel
Sprache:	eng
Schlagworte:	exponential critical growth fractional Hamiltonian elliptic system Hamiltonian functions Moser iteration Nehari generalized Operators (mathematics) truncation arguments Variational methods
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