This manuscript develops a framework for the strong approximation of Sobolev maps with
values in compact manifolds, emphasizing the interplay between local and global …

We prove Hölder continuity for n/2-harmonic maps from arbitrary subsets of Rn into a
sphere. This extends a recent one-dimensional result by F. Da Lio and T. Rivière to arbitrary …

A structure theorem for polyharmonic maps between Riemannian manifolds - ScienceDirect Skip
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We establish an optimal L p-regularity theory for solutions to fourth order elliptic systems with
antisymmetric potentials in all supercritical dimensions n≥ 5: Δ 2 u= Δ (D·∇ u)+ div (E·∇ …

Given a compact manifold Nn, an integer k∈ N∗ and an exponent 1≤ p<∞, we prove that
the class C∞(Q m; Nn) of smooth maps on the cube with values into Nn is dense with …

Motivated by a challenging expectation of Rivière [24], in the recent interesting work [5], de
Longueville and Gastel proposed the following geometrical even order elliptic system Δ …

In this paper, we obtain interior Holder continuity for solutions of the fourth-order elliptic
system Delta (2) u= Delta (V center dot del u)+ div (w del u)+ W center dot del u formulated …

In this paper, we develop an elementary and unified treatment, in the spirit of Rivière and
Struwe (Comm. Pure. Appl. Math. 2008), to explore regularity of weak solutions of higher …

In the present work we establish an energy quantization (or energy identity) result for
solutions to scaling invariant variational problems in dimension 4 which includes biharmonic …

Monotonicity formulas for extrinsic triharmonic maps and the triharmonic Lane–Emden
equation - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …