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math.AP2026
On Brezis Open Problem 3.1
Qi Guo, Xueping Huang, Yi C. Huang +2
Let be the unit disk in . We consider the harmonic map equation subject to the Dirichlet boundary condition $ u(e^{iθ})=(R\cosθ,R\sinθ,…
math.AP2026
Ground States of One-Dimensional Fermionic Schrödinger Systems Near a Critical Exponent
Bin Chen, Yujin Guo, Yong Luo +1
We study ground states of the fermionic nonlinear Schrödinger system in , where denotes a polynomial exponent of the nonlinear term. It is known that the system…
math.AP2024
Quantitative stability of the total -curvature near minimizing metrics
João Henrique Andrade, Tobias König, Jesse Ratzkin +1
Under appropriate positivity hypotheses, we prove quantitative estimates for the total -th order -curvature functional near minimizing metrics on any smooth, closed -dimen…