Motivated by the harmonic map heat flow, we consider maps between Riemannian manifolds such that the tension field belongs to an Lp-space. Under an appropriate smallness condition, a certain degree of regularity...
Motivated by the harmonic map heat flow, we consider maps between Riemannian manifolds such that the tension field belongs to an Lp-space. Under an appropriate smallness condition, a certain degree of regularity...
In this paper we initiate the study of second-order variational problems in L ∞, seeking to minimise the L ∞ norm of a function of the hessian.We also derive and study the respective PDE arising as the...
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