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On the existence of weak solutions for degenerate systems of variational inequalities with critical growth. (English) Zbl 0811.49007

This is an improvement of previous results by the same author. A short proof is given for a theorem of existence of solution of a quasi-linear, quasi-variational inequality of elliptic type, assuming a certain growth condition of the nonlinearity depending on the gradient of the solution.

MSC:

49J40 Variational inequalities
90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
35J85 Unilateral problems; variational inequalities (elliptic type) (MSC2000)
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