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math.AP2026
Asymptotic properties of non-relativistic limit for pseudo-relativistic Hartree equations
Pan Chen, Vittorio Coti Zelati, Yuanhong Wei
In this paper, we study the asymptotic behavior of energy and action ground states to the following pseudo-relativistic Hartree equation \[ \left(\sqrt{-c^2Î+m^2c^4}-mc^2\right)u…
math.AP2024
Existence of multiple radial solutions for nonlinear equation involving the mean curvature operator in Lorentz-Minkowski space
Vittorio Coti Zelati, Xu Dong, Yuanhong Wei
We prove existence of multiple radial solutions to the Dirichlet problem for nonlinear equations involving the mean curvature operator in Lorentz-Minkowski space and a nonlinear te…