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Variational inequalities with strong nonlinearities

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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 inequalities with odd potential operators.

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Authors and Affiliations

  1. Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150000, Russia

    V. S. Klimov

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  1. V. S. Klimov
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Correspondence to V. S. Klimov.

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Original Russian Text © V.S. Klimov, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 9, pp. 27–42.

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Klimov, V.S. Variational inequalities with strong nonlinearities. Russ Math. 58, 22–35 (2014). https://doi.org/10.3103/S1066369X14090035

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  • DOI: https://doi.org/10.3103/S1066369X14090035

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