On Palais-Smale sequences for $H$-systems: some examples

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.

Article information

Source
Adv. Differential Equations Volume 11, Number 8 (2006), 931-960.

Dates
First available in Project Euclid: 18 December 2012

Caldiroli, Paolo; Musina, Roberta. On Palais-Smale sequences for $H$-systems: some examples. Adv. Differential Equations 11 (2006), no. 8, 931--960. https://projecteuclid.org/euclid.ade/1355867620.