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On Palais-Smale sequences for H-Systems: some examples

By CALDIROLI P and MUSINA R

Abstract

We exhibit a series of examples of Palais-Smale sequences for the Dirichlet problem associated to the mean curvature equation with null boundary condition, and we show that in the case of nonconstant mean curvature functions different kinds of blow up phenomena appear and Palais-Smale sequences may have quite wild behaviour

Topics: Palais-Smale sequences, lack of compactness, mean curvature
Year: 2006
OAI identifier: oai:air.uniud.it:11390/852803
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