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.
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Keywords: quasilinear elliptic equations ; degree for Fredholm maps ; nonlinear elasticity ; Nonlinear Elasticity ; Properness Properties ; Fredholm Mappings ; Bifurcation ; 2Nd-Order ; Operators ; Theorems ; Branches
Record created on 2010-11-30, modified on 2016-08-09