Coarse Regularity of Solutions to a Nonlinear Sigma-model with Lp gravitino
Jürgen Jost, Ruijun Wu, and Miaomiao Zhu
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Submission date: 08. Jan. 2017 (revised version: January 2017)
published in: Calculus of variations and partial differential equations, 56 (2017) 6, art-no. 154
DOI number (of the published article): 10.1007/s00526-017-1241-6
MSC-Numbers: 35J46, 35J47, 35B65
Keywords and phrases: nonlinear sigma-model, regularity, gravitino
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The regularity of weak solutions of a two-dimensional nonlinear sigma model with coarse gravitino is shown. Here the gravitino is only assumed to be in Lp for some p > 4. The precise regularity results depend on the value of p.