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math.CV2020
Higher regularity and uniqueness for inner variational equations
Gaven Martin, Cong Yao
We study local minima of the -conformal energy functionals, \[ \mathsf{E}_{\cal A}^\ast(h):=\int_\ID {\cal A}(\IK(w,h)) \;J(w,h) \; dw,\quad h|_\IS=h_0|_\IS, \] defined for self…
math.CV2020★ 3 cited
The Teichmüller theory: Existence and regularity of critical points
Gaven Martin, Cong Yao
We study minimisers of the -conformal energy functionals, \[ \mathsf{E}_p(f):=\int_\ID \IK^p(z,f)\,dz,\quad f|_\IS=f_0|_\IS, \] defined for self mappings $f:\ID\to\ID$ with fini…