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math.AP2022★ 49 cited
Existence and asymptotic behavior of normalized ground states for Sobolev critical Schrödinger systems
Thomas Bartsch, Houwang Li, Wenming Zou
The paper is concerned with the existence and asymptotic properties of normalized ground states of the following nonlinear Schrödinger system with critical exponent: \begin{equatio…
math.AP2022
Equilibria of vortex type Hamiltonians on closed surfaces
Mohameden Ahmedou, Thomas Bartsch, Tim Fiernkranz
We prove the existence of critical points of vortex type Hamiltonians \[ H(p_1,\ldots, p_N) = \sum_{{i,j=1},{i\ne j}}^N Γ_iΓ_jG(p_i,p_j)+ψ(p_1,\dots,p_N) \] on a closed Riemannian…