most citedEverywhere differentiability of viscosity solutions to a class of Aronsson's equations

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math.AP2026

Remarks on the heat flow of harmonic maps into CAT(0)-spaces

Fanghua Lin, Changyou Wang

In this paper, we present an alternate, elementary proof of the local Lipschitz regularity of the suitable weak solution of heat flow of harmonic maps into CAT(0)-metric spaces, wh…

math.AP2026

Heat flow of harmonic maps into CAT()-spaces

Fang-Hua Lin, Antonio Segatti, Yannick Sire +1

We introduce a new approach to prove the global existence and uniqueness of suitable weak solutions of the heat flow of harmonic mappings into CAT(0) metric spaces. Our method allo…

math.AP2014★ 2 cited

Everywhere differentiability of viscosity solutions to a class of Aronsson's equations

Juhana Siljander, Changyou Wang, Yuan Zhou

For any open set and , we establish everywhere differentiability of viscosity solutions to the Aronsson equation $$ <D_x(H(x, Du)), D_p H(x, Du)>=0 \q…