The dual eigenvalue problems for $p$-Laplacian

Details The dual eigenvalue problems for $p$-Laplacian The dual eigenvalue problems for $p$-Laplacian

2011-05-11

arxiv.org/abs/1105.2182v1

Mathematics

Classical Analysis and ODEs

19 pages

Scientific paper

In this paper, we find the minimizer of the eigenvalue gap for the
single-well potential problem and the eigenvalue ratio for the single-barrier
density problem and symmetric single-well (single-barrier)density problem for
$p$-Laplacian. This extends the results of the classical Sturm-Liouville
problem.

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