Ukrainian Mathematical Journal

, 63:596 | Cite as

Resonance elliptic variational inequalities with discontinuous nonlinearities of linear growth

  • V. N. Pavlenko

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.


Variational Inequality Linear Growth Strong Solution Multivalued Mapping Elliptic Partial Differential Equation 
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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  • V. N. Pavlenko
    • 1
  1. 1.Chelyabinsk State UniversityChelyabinskRussia

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