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.


Published in:
Advanced Nonlinear Studies, 9, 727-762
Year:
2009
ISSN:
1536-1365
Keywords:
Laboratories:




 Record created 2010-11-30, last modified 2018-09-13


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