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math.AP2009★ 1 cited
A new approximation of relaxed energies for harmonic maps and the Faddeev model
Mariano Giaquinta, Min-Chun Hong, Hao Yin
We propose a new approximation for the relaxed energy of the Dirichlet energy and prove that the minimizers of the approximating functionals converge to a minimizer of the…
math.DG2009
Global Existence for the Seiberg-Witten Flow
Min-Chun Hong, Lorenz Schabrun
We introduce the gradient flow of the Seiberg-Witten functional on a compact, orientable Riemannian 4-manifold and show the global existence of a unique smooth solution to the flow…