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Higher Order Elliptic Equations in Generalized Morrey Spaces

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Recent Advances in Mathematical Analysis

Part of the book series: Trends in Mathematics ((TM))

Abstract

We study the generalized Morrey regularity of the strong solutions to higher-order uniformly elliptic equations with VMO principal coefficients.

To Francesco Altomare with all the best wishes on the occasion of his 70th anniversary

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Acknowledgements

All the authors are members of INdAM—GNAMPA.

The research of E.A. Alfano is partially supported by the project ALPHA-MENTE, Lotto1/Ambito AV01.

The work of D.K. Palagachev was supported by the Italian Ministry of Education, University and Research under the Program “Department of Excellence” L. 232/2016 (Grant No. CUP - D94I18000260001).

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Salerno, Salerno, Italy

    Emilia Anna Alfano & Lubomira Softova

  2. Department of Mechanics, Mathematics and Management, Polytechnic University of Bari, Bari, Italy

    Dian K. Palagachev

Authors
  1. Emilia Anna Alfano
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  2. Dian K. Palagachev
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  3. Lubomira Softova
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Corresponding author

Correspondence to Dian K. Palagachev .

Editor information

Editors and Affiliations

  1. Dipartimento di Matematica, UniversitĂ  degli Studi di Bari Aldo Moro, Bari, Italy

    Anna Maria Candela

  2. Dipartimento di Matematica, UniversitĂ  degli Studi di Bari Aldo Moro, Bari, Italy

    Mirella Cappelletti Montano

  3. Dipartimento di Matematica e Fisica “Ennio De Giorgi”, Università del Salento, Lecce, Italy

    Elisabetta Mangino

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Alfano, E.A., Palagachev, D.K., Softova, L. (2023). Higher Order Elliptic Equations in Generalized Morrey Spaces. In: Candela, A.M., Cappelletti Montano, M., Mangino, E. (eds) Recent Advances in Mathematical Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-20021-2_5

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