A new approach to Liouville theorems for elliptic inequalities

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

In this article we review a new method for proving the nonexistence of
positive solutions of elliptic inequalities in unbounded domains in $\rn$,
which was recently introduced by the authors. We expose our method and new
results on the two most frequently encountered cases: inequalities involving
the p-Laplacian or the Pucci extremal operator.

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