Intrinsic semiharmonic maps

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)
164 Downloads (Pure)

Abstract

For maps from a domain $\Omega \subset \mathbb{R}^m$ into a Riemannian manifold $N$, a functional coming from the norm of a fractional Sobolev space has recently been studied by Da Lio and Rivière. An intrinsically defined functional with a similar behavior also exists, and its first variation can be identified with a Dirichlet-to-Neumann map belonging to the harmonic map problem. The critical points have regularity properties analogous to harmonic maps.
Original languageEnglish
Pages (from-to)588-598
Number of pages11
JournalJournal of Geometric Analysis
Volume21
Issue number3
DOIs
Publication statusPublished - 2011

Fingerprint Dive into the research topics of 'Intrinsic semiharmonic maps'. Together they form a unique fingerprint.

Cite this