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A numerical investigation of level sets of extremal Sobolev functions

In this paper we investigate the level sets of extremal Sobolev functions for subcritical exponents p. We conjecture that as p increases the corresponding extremal functions become more peaked, which we can measure by comparing their distribution functions. Then we provide compelling numerical evidence for our conjecture.

preprint2014arXivOpen access
Stefan JuhnkeJesse Ratzkin
math.APmath.NA
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Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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Stefan JuhnkeJesse Ratzkin

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