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.
Hoài-Minh Nguyên, Jean Louis-Alexandre Fornerod
Anthony Christopher Davison, Isolde Santos Previdelli, Paulo Vitor Da Costa Pereira