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Sublinear Equations Driven by Hörmander Operators

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Abstract

We characterize the existence of a unique positive weak solution for a Dirichlet boundary value problem driven by a linear second-order differential operator modeled on Hörmander vector fields, where the right hand side has sublinear growth.

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Acknowledgements

We would like to thank Alessandro Goffi for bringing to our attention the useful reference [21].

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Authors and Affiliations

  1. Politecnico di Milano Dipartimento di Matematica, Via Bonardi 9, 20133, Milan, Italy

    Stefano Biagi

  2. Dipartimento di Matematica Università degli Studi di Trento, Via Sommarive 14, 38123, Povo, Trento, Italy

    Andrea Pinamonti

  3. Dipartimento di Matematica, Universitá of Bologna, Piazza di Porta San Donato 5, 40126, Bologna, Italy

    Eugenio Vecchi

Authors
  1. Stefano Biagi
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  2. Andrea Pinamonti
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  3. Eugenio Vecchi
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Correspondence to Andrea Pinamonti.

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The authors are members of INdAM. S. Biagi is partially supported by the INdAM-GNAMPA 2020 project Metodi topologici per problemi al contorno associati a certe classi di equazioni alle derivate parziali. A. Pinamonti and E. Vecchi are partially supported by the INdAM-GNAMPA 2020 project Convergenze variazionali per funzionali e operatori dipendenti da campi vettoriali

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Biagi, S., Pinamonti, A. & Vecchi, E. Sublinear Equations Driven by Hörmander Operators. J Geom Anal 32, 121 (2022). https://doi.org/10.1007/s12220-021-00854-3

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