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Sharp constant and extremal function for the improved Moser-Trudinger inequality involving $L^p$ norm in two dimension
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On the well-posedness of entropy solutions for conservation laws with source terms
On the Closing Lemma problem for the torus
1. | School of Mathematics and Statistics, University of New South Wales, Sydney, Australia |
The proof relies on a new result in $1$-dimensional dynamics on the non-existence of semi-wandering intervals of smooth order-preserving circle maps.
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