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A fixed point theorem for a class of Sobolev maps |
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| Authors: | Christoph Hamburger |
| Institution: | (1) Hohle Gasse 77, 53177 Bonn, Germany |
| Abstract: | We prove an analog of the Brouwer fixed point theorem for a map  whose differential and adjoint are integrable with exponents n−1 and n/(n−1) respectively. Here Ω is a convex bounded open subset of Rn.
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| Keywords: | 55M20 55M25 46E35 |
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