On the characterization of the harmonic pseudospheres via Kuran’s functions and single-layer potentials

Authors

  • Giovanni Cupini Dipartimento di Matematica, Università di Bologna
  • Ermanno Lanconelli Dipartimento di Matematica, Università di Bologna

DOI:

https://doi.org/10.6092/issn.2240-2829/21062

Keywords:

Surface Gauss mean value formula, single-layer potentials, pseudosphere, harmonic function

Abstract

We present some characterizations of the harmonic pseudospheres in terms of the so called Kuran's functions and of the single-layer potentials. Our characterizations apply to solid, harmonically stable domains.

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Published

2025-01-08

How to Cite

Cupini, G., & Lanconelli, E. (2024). On the characterization of the harmonic pseudospheres via Kuran’s functions and single-layer potentials. Bruno Pini Mathematical Analysis Seminar, 15(1), 187–195. https://doi.org/10.6092/issn.2240-2829/21062