A topological aspect of Sobolev mappings |
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| Authors: | David Swanson William P Ziemer |
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| Institution: | (1) Department of Mathematics, Texas A&M University, College Station, TX 77843, USA (e-mail: dswanson@math.tamu.edu), US;(2) Department of Mathematics, Indiana University, Bloomington, IN 47405, USA (e-mail: ziemer@indiana.edu), US |
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| Abstract: | Let be a connected open set, . We give a sufficient condition for a mapping , , to have the property that sgn is almost everywhere of one sign. Following the work of Müller, Spector, and Tang MST], we give an application of our results
to the theory of non-linear elasticity.
Received: 13 October 2000 / Accepted: 23 January 2001 / Published online: 4 May 2001 |
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| Keywords: | Mathematics Subject Classification (2000): 46E35 49Q15 74B20 |
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