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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 9, Pages 27–42 (Mi ivm8927)  
Variational inequalities with strong nonlinearities

V. S. Klimov

Chair of Mathematical Analysis, Yaroslavl State University, 14 Sovetskaya str., Yaroslavl, 150000 Russia
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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.
Received: 27.02.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 9, Pages 22–35
DOI: https://doi.org/10.3103/S1066369X14090035
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: V. S. Klimov, “Variational inequalities with strong nonlinearities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 9, 27–42; Russian Math. (Iz. VUZ), 58:9 (2014), 22–35
Citation in format AMSBIB
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\by V.~S.~Klimov
\paper Variational inequalities with strong nonlinearities
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 9
\pages 27--42
\mathnet{http://mi.mathnet.ru/ivm8927}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 9
\pages 22--35
\crossref{https://doi.org/10.3103/S1066369X14090035}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84906244707}
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