Abstract
We prove global comparison results for the p-Laplacian on a p-parabolic manifold. These involve both real-valued and vector-valued maps with finite p-energy. Further L q comparison principles in the non-parabolic setting are also discussed.
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Work partially supported by the Academy of Finland, project 123633, and the ESF Network HCAA.
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Holopainen, I., Pigola, S. & Veronelli, G. Global Comparison Principles for the p-Laplace Operator on Riemannian Manifolds. Potential Anal 34, 371–384 (2011). https://doi.org/10.1007/s11118-010-9199-4
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DOI: https://doi.org/10.1007/s11118-010-9199-4