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Resonance elliptic variational inequalities with discontinuous nonlinearities of linear growth

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Ukrainian Mathematical Journal Aims and scope

We consider resonance elliptic variational inequalities with second-order differential operators and discontinuous nonlinearities of linear growth. The theorem on existence of a strong solution is proved. The initial-value problem is reduced to the problem of existence of a fixed point for a compact multivalued mapping and then the existence of this point is established by the Leray–Schauder method.

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Authors and Affiliations

  1. Chelyabinsk State University, Chelyabinsk, Russia

    V. N. Pavlenko

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  1. V. N. Pavlenko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 4, pp. 513–522, April, 2011.

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Pavlenko, V.N. Resonance elliptic variational inequalities with discontinuous nonlinearities of linear growth. Ukr Math J 63, 596–608 (2011). https://doi.org/10.1007/s11253-011-0527-7

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  • DOI: https://doi.org/10.1007/s11253-011-0527-7

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