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math.AP2022
On the prescribed negative Gauss curvature problem for graphs
Alessio Figalli, Christoph Kehle
We revisit the problem of prescribing negative Gauss curvature for graphs embedded in when . The problem reduces to solving a fully nonlinear Monge-Ampèr…
math.AP2022
Uniqueness of solutions to nonlinear Schrödinger equations from their zeros
Christoph Kehle, João P. G. Ramos
We show novel types of uniqueness and rigidity results for Schrödinger equations in either the nonlinear case or in the presence of a complex-valued potential. As our main result w…