Monotonicity properties for variational inequalities associated with strongly nonlinear diagonal systems. (English) Zbl 0724.35048

Recent advances in nonlinear elliptic and parabolic problems, Proc. Int. Conf., Nancy/France 1988, Pitman Res. Notes Math. Ser. 208, 255-266 (1989).
[For the entire collection see Zbl 0676.00010.]
The authors prove a rather general monotonicity property for variational inequalities. As consequence, they derive uniqueness results for various nonlinear problems like nonlinear elliptic boundary value, obstacle, and Signorini-type problems.


35J85 Unilateral problems; variational inequalities (elliptic type) (MSC2000)
35J65 Nonlinear boundary value problems for linear elliptic equations


Zbl 0676.00010