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 Lq comparison principles in the non-parabolic setting are also discussed. © 2010 Springer Science+Business Media B.V
Holopainen, I., Pigola, S., Veronelli, G. (2011). Global Comparison Principles for the p-Laplace Operator on Riemannian Manifolds. POTENTIAL ANALYSIS, 34(4), 371-384 [10.1007/s11118-010-9199-4].
Global Comparison Principles for the p-Laplace Operator on Riemannian Manifolds
Pigola, S;Veronelli, G
2011
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 Lq comparison principles in the non-parabolic setting are also discussed. © 2010 Springer Science+Business Media B.V
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