Variational inequalities with strong nonlinearities

V. S. Klimov

Chair of Mathematical Analysis, Yaroslavl State University, 14 Sovetskaya str., Yaroslavl, 150000 Russia

Abstract: We study a connection between critical values and topological characteristics of non-smooth functionals. We establish analogs of theorems about regular interval and nek. We also find lower estimates of solutions to variational inequalites with odd potential operators.

Keywords: critical value, topological characterictics of non-smooth functionals, variational inequality, Banach space.

UDC: 517.946

Received: 27.02.2013

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:9, 22–35

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