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Maximum principle for subharmonic functions on a stratified set

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Abstract

The strong maximum principle is proved for solutions of the inequality Δu ≥ 0 on a stratified set.

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References

  1. A. A. Gavrilov and O. M. Penkin, “Analog of lemma on normal derivative for an elliptic equation on a stratified set,” Differents. Uravn., 36, No. 2, 226–232 (2000).

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  2. S. N. Oshchepkova and O. M. Penkin, “On a certain necessary extremum condition on a stratified set,” Dokl. Ross. Akad. Nauk, 416, No. 1, 22–25 (2007).

    MathSciNet  Google Scholar 

  3. F. Pham, Introduction a l’étude topologique des singularités de Landau, Gauthier-Villars éditeur, Paris (1967).

    MATH  Google Scholar 

  4. Yu. V. Pokornyi, O. M. Penkin, V. L. Pryadiev et all, Differential Equations on Geometric Graphs [in Russian], Fizmatlit, Moscow (2004).

    Google Scholar 

  5. H. Seifert and W. Threlfall, Topology [ Russian translation], GONTI, Moscow (1938).

    Google Scholar 

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Authors and Affiliations

  1. Belgorod State University, Belgorod, Russia

    S. N. Oshchepkova & O. M. Penkin

Authors
  1. S. N. Oshchepkova
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  2. O. M. Penkin
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Corresponding author

Correspondence to S. N. Oshchepkova.

Additional information

Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 68, Partial Differential Equations, 2011.

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Oshchepkova, S.N., Penkin, O.M. Maximum principle for subharmonic functions on a stratified set. J Math Sci 175, 33–38 (2011). https://doi.org/10.1007/s10958-011-0330-x

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  • DOI: https://doi.org/10.1007/s10958-011-0330-x

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