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Generalization of the Fucik-Kufner result with applications to obstacle problems

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Abstract

In this paper we present an extension of the Fucik-Kufner result [3] to the case of n-variational inequalities in a Hilbert space. Then we adapt that extension to simplify derivation of useful inequalities concerning solutions of various types of elliptic obstacle problems.

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References

  1. H. Brezis, Problems unilatreaux, J. Math. Pures Appl., 151 (1972), p. 1–168

    MathSciNet  Google Scholar 

  2. G. Duvant, J. Lions Inequalities in Mechanics and Physics, Springer-Verlag 1975

  3. S. Fucik, A. Kufner, Nonlinear differential equations, Elsevier 1984

  4. S. Jagodziński, A. Olek, K. Szczepaniak, Inner obstacle problem: convergence of the solutions for impediments with varying domains, International Journal of Pure and Applied Mathematics, 24 (2005), p. 265–270

    MathSciNet  MATH  Google Scholar 

  5. S. Jagodziński, A. Olek, K. Szczepaniak, Lipschitz character of solutions to the inner obstacle problems, Irish Math. Soc. Bulletin, 61 (2008), p. 15–27

    MATH  Google Scholar 

  6. S. Jagodziński, A. Olek, K. Szczepaniak, Regularity of the solutions to the inner obstacle problems, identification of the inner obstacles with the Dirichlet boundary problems, Int. Journal of Math. Analysis, 21 (2009), 3, p. 1003–1010

    Google Scholar 

  7. D. Kinderlehrer, G. Stampacchia, An Introductions to Variational Inequalities and their Applications, Academic Press, 1980

  8. U. Mosco, Introduction to variational and quasivariational inequalities, Control theory and topics in fundamental analysis, Vienna 1976

    Google Scholar 

  9. A. Olek, K. Szczepaniak, Continuous dependence on obstacle in double global obstacle problems, Annales Academias Scientiarum Fennicæ Mathematica, 28 (2003), p. 89–97

    MathSciNet  MATH  Google Scholar 

  10. G. Stampacchia, Regularity of solutions of some variational inequalities, Proc. of Sym. Pure Math., 18 (1970), p. 550–560.

    Google Scholar 

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Authors and Affiliations

  1. Lund University, Box 117, S-221 00, Lund, Sweden

    Thomas Ekholm, Sławomir JagodziŃski, Anna Olek & Kuba Szczepaniak

  2. Centre of Mathematics and Physics, Technical University of Łódź, al. Politechniki 11, 90-924, Łódź, Poland

    Thomas Ekholm, Sławomir JagodziŃski, Anna Olek & Kuba Szczepaniak

Authors
  1. Thomas Ekholm
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  2. Sławomir JagodziŃski
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  3. Anna Olek
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  4. Kuba Szczepaniak
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Ekholm, T., JagodziŃski, S., Olek, A. et al. Generalization of the Fucik-Kufner result with applications to obstacle problems. SeMA 51, 49–53 (2010). https://doi.org/10.1007/BF03322553

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  • DOI: https://doi.org/10.1007/BF03322553

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