Abstract
We investigate the level sets of extremal Sobolev functions. For and , these functions extremize the ratio . We conjecture that as increases, the extremal functions become more “peaked” (see the introduction below for a more precise statement), and present some numerical evidence to support this conjecture.
Citation
Stefan Juhnke. Jesse Ratzkin. "A numerical investigation of level sets of extremal Sobolev functions." Involve 8 (5) 787 - 799, 2015. https://doi.org/10.2140/involve.2015.8.787
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