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math.AP2023
Vectorial ground state solutions for a class of Hartree-Fock type systems with the double coupled feature
Juntao Sun, Tsung-fang Wu
In this paper we study the Hartree-Fock type system as follows: \begin{equation*} \left\{ \begin{array}{ll} -Δu+u+λϕ_{u,v}u=\left\vert u\right\vert ^{p-2}u+β\left\vert v\right\vert…
math.AP2023
The planar Schrodinger--Poisson system with exponential critical growth: The local well-posedness and standing waves with prescribed mass
Juntao Sun, Shuai Yao, Jian Zhang
In this paper, we investigate a class of planar Schrödinger-Poisson systems with critical exponential growth. We establish conditions for the local well-posedness of the Cauchy pro…