caa a22 4500 469117427 CHVBK 20180323133128.0 cr unu---uuuuu 170328e19920901xx s 000 0 eng 10.1007/BF02921301 doi (NATIONALLICENCE)springer-10.1007/BF02921301 Harmonic maps with fixed singular sets [Elektronische Daten] [Robert Hardt, Libin Mou] Suppose Ω is a smooth domain in Rm,N is a compact smooth Riemannian manifold, andZ is a fixed compact subset of Ω having finite (m − 3)-dimensional Minkowski content (e.g.,Z ism − 3 rectifiable). We consider various spaces of harmonic mapsu: Ω →N that have a singular setZ and controlled behavior nearZ. We study the structure of such spacesH and questions of existence, uniqueness, stability, and minimality under perturbation. In caseZ = 0,H is a Banach manifold locally diffeomorphic to a submanifold of the product of the boundary data space with a finite-dimensional space of Jacobi fields with controlled singular behavior. In this smooth case, the projection ofu εH tou ¦ϖΩ is Fredholm of index 0. Mathematica Josephina, Inc., 1992 Banach manifold nationallicence harmonic map nationallicence Jacobi field nationallicence singularity nationallicence Hardt Robert Mathematics Department, Rice University, 77251, Houston, TX, USA aut Mou Libin Mathematics Department, Rice University, 77251, Houston, TX, USA aut The Journal of Geometric Analysis Springer-Verlag 2/5(1992-09-01), 445-488 1050-6926 2:5<445 1992 2 12220 https://doi.org/10.1007/BF02921301 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02921301 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hardt Robert Mathematics Department, Rice University, 77251, Houston, TX, USA aut NATIONALLICENCE 700 1- Mou Libin Mathematics Department, Rice University, 77251, Houston, TX, USA aut NATIONALLICENCE 773 0- The Journal of Geometric Analysis Springer-Verlag 2/5(1992-09-01), 445-488 1050-6926 2:5<445 1992 2 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer