摘要
We give the explicit formulas of the minimizers of the anisotropic Rudin-Osher-Fatemi models Eφ1（U）=∫Ωφ°（Du）Dx＋λ∫｜u-f｜dx,u∈BV（Ω） Eφ2（U）=∫Ωφ°（Du）Dx＋λ∫（u-f）2dx,u∈BV（Ω）,where Ω R2 is a domain, φ° is an anisotropic norm on R2, and f is a solution of the anisotropie 1-Laplaeian equations.
We give the explicit formulas of the minimizers of the anisotropic Rudin-Osher-Fatemi models Eφ1（U）=∫Ωφ°（Du）Dx＋λ∫｜u-f｜dx,u∈BV（Ω） Eφ2（U）=∫Ωφ°（Du）Dx＋λ∫（u-f）2dx,u∈BV（Ω）,where Ω R2 is a domain, φ° is an anisotropic norm on R2, and f is a solution of the anisotropie 1-Laplaeian equations.
基金
Acknowledgements The authors thank the referees for careful reading of the paper and useful suggestions which improve the presentation. This work was supported by the National Natural Science Foundation of China （Grant Nos. 11271025, 11371038, 11431001）.
