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On the semi-monotone operator theory and applications. (English) Zbl 0934.47031

The author studies a variational inequality governed by a semi-monotone operator and develops a degree theory for demicontinuous semi-monotone operators in reflexive Banach spaces.
Reviewer: I.Vrabie (Iaşi)

MSC:

47H05 Monotone operators and generalizations
47J20 Variational and other types of inequalities involving nonlinear operators (general)
47H11 Degree theory for nonlinear operators
35J50 Variational methods for elliptic systems
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