The Nonlinear solver that is included in DOLFINx does not include SNES, which is what one would use to set bounds. See dolfinx/test_nonlinear_assembler.py at 8140591d980ba4e0705588999294e37704c96186 · FEniCS/dolfinx · GitHub
on how to use SNES in nonlinear problem and: Set bounds in a NonLinearProblem - #4 by nate
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