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research article
Global Continuation for Quasilinear Elliptic Systems on R-N and the Equations of Elastostatics
We consider quasilinear systems of second order elliptic equations on R-N. Using a continuation theorem based on the topological degree for C-1-Fredholm maps, we derive global properties of a maximal connected set of solutions which decay exponentially to zero at infinity. These results are used to treat a problem concerning the equilibrium of an elastic body occupying the whole space and subjected to a one parameter family of localized external forces.
Type
research article
Web of Science ID
WOS:000273359900008
Authors
Publication date
2009
Published in
Volume
9
Start page
727
End page
762
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
November 30, 2010
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