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Paper IPM / M / 7349 | ||||||||||||||||||||||||
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Abstract: | ||||||||||||||||||||||||
We prove existence of doubly Steiner symmetric maximizers for a
constrianed variational problem in \mathbbR2. Solutions represent steady geophysical flows over a surface of variable height. The kinetic eneregy is maximized with respect to a set formed by the intersection of a set of rearrangements of a given function with an affine subspace of codimension one.
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