Partial regularity results up to the boundary for harmonic maps into a Finsler manifold

Optimal Regularity of Harmonic Maps from a Riemannian Manifold into a Static Lorentzian Manifold

positive function. In such a case, we write N = N0 ×β R. In this paper we consider the case where N0 is compact. We may assume, by Nash-Moser theorem, N0 is a submanifold of R for some k > 1. By the compactness of N0, there exist constants βmin, βmax > 0 such that βmin ≤ β(x) ≤ βmax for all x ∈ N0. Let M be a Riemannian manifold with non-empty boundary ∂M . For a map w = (u, t) : M → N0 ×β R, w...

Stable Exponentially Harmonic Maps Between Finsler Manifolds

Boundary Regularity and the Dirichlet Problem for Harmonic Maps

In a previous paper [10] we developed an interior regularity theory for energy minimizing harmonic maps into Riemannian manifolds. In the first two sections of this paper we prove boundary regularity for energy minimizing maps with prescribed Dirichlet boundary condition. We show that such maps are regular in a full neighborhood of the boundary, assuming appropriate regularity on the manifolds,...

Existence and Partial Regularity Results for the Heat Flow for Harmonic Maps

Regularity for n-Harmonic Maps

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