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arXiv:1708.03932 [math.AP]AbstractReferencesReviewsResources

Poincare Inequalities and Neumann Problems for the p-Laplacian

David Cruz-Uribe, Scott Rodney, Emily Rosta

Published 2017-08-13Version 1

We prove an equivalence between weighted Poincare inequalities and the existence of weak solutions to a Neumann problem related to a degenerate p- Laplacian. The Poincare inequalities are formulated in the context of degenerate Sobolev spaces defined in terms of a quadratic form, and the associated matrix is the source of the degeneracy in the p-Laplacian.

Categories: math.AP
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