In this note we study solutions defined on the whole space for the p-Laplace equation
Under an appropriate condition on the growth of f, which is weaker than conditions previously considered in McCoy  and Cuccu-Mhammed-Porru , we prove the non-existence of non-trivial positive solutions.
Submitted October 18, 2014. Published July 1, 2015.
Math Subject Classifications: 70H25.
Key Words: p-Laplace equation; Liouville theorem; entire solutions.
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| Cristian Enache |
Simion Stoilow Institute of Mathematics
of the Romanian Academy 010702
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