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Trudinger and Moser, interested in certain nonlinear problems in differential geometry, showed that if |∇u|q is integrable on a bounded domain in R with q ≥ n ≥ 2, then u is exponentially integrable there. Symmetrization reduces the problem to a one-dimensional inequality, which Jodeit extended to q > 1. Carleson and Chang proved that this inequality has… (More)

- Alan C. Lazer, Mark Leckband
- The American Mathematical Monthly
- 2010

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