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Symmetry and monotonicity of singular solutions to p-Laplacian systems involving a first order term

  • Stefano Biagi , Francesco Esposito ORCID logo EMAIL logo , Luigi Montoro and Eugenio Vecchi
Published/Copyright: November 30, 2023

Abstract

We consider positive singular solutions (i.e. with a non-removable singularity) of a system of PDEs driven by p-Laplacian operators and with the additional presence of a nonlinear first order term. By a careful use of a rather new version of the moving plane method, we prove the symmetry of the solutions. The result is already new in the scalar case.


Communicated by Enrico Valdinoci


Award Identifier / Grant number: 2017JPCAPN

Award Identifier / Grant number: PDI2019-110712GB-100

Funding statement: The authors are members of INdAM. F. Esposito and L. Montoro are partially supported by PRIN project 2017JPCAPN (Italy): Qualitative and quantitative aspects of nonlinear PDEs. L. Montoro is partially supported by Agencia Estatal de Investigación (Spain): project PDI2019-110712GB-100.

Acknowledgements

We would like to thank the anonymous referee for the careful reading of our manuscript.

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Received: 2023-04-15
Revised: 2023-08-23
Published Online: 2023-11-30
Published in Print: 2024-10-01

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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