Gurobi and non linear

Specific Domains Optimization (Mathematical)
4

I think you can use Gurobi.jl/src/gen110/libgrb_api.jl at 69d2d6e70ab517751275bea0d4ec0acdb263299f · jump-dev/Gurobi.jl · GitHub

From the Readme.md

using JuMP, Gurobi
column(x::VariableRef) = Gurobi.c_column(backend(owner_model(x)), index(x))
model = direct_model(Gurobi.Optimizer())
@variable(model, x[i in 1:2])
@variable(model, y[1:2])
GRBaddgenconstrPow(backend(model), "x1^0.7", column(x[1]), column(y[1]), 0.7, "")
GRBaddgenconstrPow(backend(model), "x2^3", column(x[2]), column(y[2]), 3.0, "")
@objective(model, Min, y[1] + y[2])
optimize!(model)
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