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Entire solutions of quasilinear symmetric systems

Entire solutions of quasilinear symmetric systems

We study the following quasilinear elliptic system for all i = 1,··· ,m −div(� ' (|∇ui| 2 )∇ui) = Hi(u) in R n where u = (ui) m=1 : R n → R m and the nonlinearity Hi(u) ∈ C 1 (R m ) → R is a general nonlinearity. …