An Epsilon-regularity result for Generalized Harmonic Maps into Spheres
| dc.contributor.author | Moser, Roger (  0000-0002-9571-5142 ) | |
| dc.date.accessioned | 2020-09-10T18:41:37Z | |
| dc.date.available | 2020-09-10T18:41:37Z | |
| dc.date.issued | 2003-01-02 | |
| dc.identifier.citation | Moser, R. (2003). An epsilon-regularity result for generalized harmonic maps into spheres. Electronic Journal of Differential Equations, 2003(01), pp. 1-7. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/12568 | |
| dc.description.abstract | For m, n ≥ 2 and 1 < p < 2, we prove that a map u ∈ W1,p loc (Ω, Sn-1) from an open domain Ω ⊂ ℝm into the unit (n - 1)-sphere, which solves a generalized version of the harmonic map equation, is smooth, provided that 2 - p and [u] BMO(Ω) are both sufficiently small. This extends a result of Almeida [1]. The proof is based on an inverse Hölder inequality technique. | en_US |
| dc.format | Text | |
| dc.format.extent | 7 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Southwest Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Generalized harmonic maps | en_US |
| dc.subject | Regularity | en_US |
| dc.title | An Epsilon-regularity result for Generalized Harmonic Maps into Spheres | en_US |
| dc.title.alternative | An ∈-regularity result for Generalized Harmonic Maps into Spheres | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
