Liouville theorems for elliptic inequalities and applications
Authors:
- 1 January 1998
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 128 (6) , 1217-1247
Abstract
In this paper we prove nonexistence of positiveC2solutions for systems of semilinear elliptic inequalities, for polyharmonic semilinear inequalities in cones and, under better conditions on the nonlinearity, for bounded positive solutions of elliptic semilinear equations in half spaces. Using a blow-up argument, these results allow us to provea-prioribounds for a class of semilinear elliptic systems of equations in bounded domains.Keywords
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