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arXiv · 1708.03932

Poincare Inequalities and Neumann Problems for the p-Laplacian

David Cruz-Uribe·Scott Rodney·Emily Rosta
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Abstract

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.

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David Cruz-Uribe, Scott Rodney, Emily Rosta. 2017-08-13. Poincare Inequalities and Neumann Problems for the p-Laplacian. https://arxiv.org/abs/1708.03932

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