Antisymmetric maximum principles and Hopf’s lemmas for the Logarithmic Laplacian, with applications to symmetry results
Abstract We prove antisymmetric maximum principles and Hopf-type lemmas for linear problems described by the Logarithmic Laplacian. As application, we prove the symmetry of solutions for semilinear problems in symmetric sets, and a rigidity result for the parallel surface problem for the Logarithmic Laplacian.
Authors
- Luigi Pollastro (ORCID: https://orcid.org/0000-0002-2796-1464)
- Nicola Soave (ORCID: https://orcid.org/0000-0002-1079-5658)
Institutions
- Collegio Carlo Alberto (IT)
- University of Turin (IT)
Publication Details
- Journal
- Annali di Matematica Pura ed Applicata (1923 -)
- Published
- 2025-01-27
- DOI
- https://doi.org/10.1007/s10231-025-01549-0
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- European Commission
- Università degli Studi di Torino
- Ministero dell'Università e della Ricerca
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni