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Approximation by Solutions of Elliptic Equations and Extension of Subharmonic Functions

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New Trends in Approximation Theory

Part of the book series: Fields Institute Communications ((FIC,volume 81))

Abstract

In this review we present the main results jointly obtained by the authors and André Boivin (1955–2014) during the last 20 years. We also recall some important theorems obtained with colleagues and give new applications of the above mentioned results. Several open problems are also formulated.

Dedicated to the memory of André Boivin

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Acknowledgements

Paul Gauthier was supported by NSERC (Canada) and Entente France-Québec. Petr V. Paramonov was partially supported by the Programme for the Support of Leading Scientific Schools of the Russian Federation (grant NSh-9110.2016.1).

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Authors and Affiliations

  1. Département de Mathématiques et de Statistique, Université de Montréal, CP-6128 Centreville, Montréal, QC, Canada, H3C 3J7

    Paul Gauthier

  2. Mechanics and Mathematics Faculty, Moscow State (Lomonosov) University, 119899, Moscow, Russia

    Petr V. Paramonov

Authors
  1. Paul Gauthier
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  2. Petr V. Paramonov
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Corresponding author

Correspondence to Petr V. Paramonov .

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Editors and Affiliations

  1. Département de Mathématiques et de Statistique, Université Laval, Québec, Québec, Canada

    Javad Mashreghi

  2. Department of Mathematics and Statistics, University of South Florida, Tampa, Florida, USA

    Myrto Manolaki

  3. Département de Mathématiques et de Statistique, Université de Montréal, Montreal, Québec, Canada

    Paul Gauthier

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Gauthier, P., Paramonov, P.V. (2018). Approximation by Solutions of Elliptic Equations and Extension of Subharmonic Functions. In: Mashreghi, J., Manolaki, M., Gauthier, P. (eds) New Trends in Approximation Theory. Fields Institute Communications, vol 81. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-7543-3_4

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