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On regularized trace formulas for a well-posed perturbation of the m-Laplace operator

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Abstract

A class of well-posed problems in a Hilbert space for the m-Laplace operator in a punctured domain is considered. An analog of the Green formula and a class of self-adjoint problems are obtained. We derive regularized trace formulas for these operators.

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References

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Authors and Affiliations

  1. Al-Farabi Kazakh National University, Almaty, Kazakhstan

    B. E. Kanguzhin & N. E. Tokmagambetov

Authors
  1. B. E. Kanguzhin
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  2. N. E. Tokmagambetov
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Correspondence to B. E. Kanguzhin.

Additional information

Original Russian Text © B.E. Kanguzhin, N.E. Tokmagambetov, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 12, pp. 1606–1611.

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Kanguzhin, B.E., Tokmagambetov, N.E. On regularized trace formulas for a well-posed perturbation of the m-Laplace operator. Diff Equat 51, 1583–1588 (2015). https://doi.org/10.1134/S0012266115120058

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  • DOI: https://doi.org/10.1134/S0012266115120058

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