A quantitative Gidas-Ni-Nirenberg-type result for the p-Laplacian via integral identities

Simple item page
dc.contributor.authorDipierro, S.
dc.contributor.authorGonçalves da Silva, J.
dc.contributor.authorPoggesi, G.
dc.contributor.authorValdinoci, E.
dc.date.issued2025
dc.description.abstractWe prove a quantitative version of a Gidas-Ni-Nirenberg-type symmetry result involving the p-Laplacian. Quantitative stability is achieved here via integral identities based on the proof of rigidity established by J. Serra in 2013, which extended to general dimension and the p-Laplacian operator an argument proposed by P.-L. Lions in dimension 2for the classical Laplacian. Stability results for the classical Gidas-Ni-Nirenberg sym- metry theorem (involving the classical Laplacian) via the method of moving planes were established by Rosset in 1994 and by Ciraolo, Cozzi, Perugini, Pollastro in 2024. To the authors’ knowledge, the present paper provides the fifirst quantitative Gidas-Ni-Nirenberg-type result involving the p Laplacian for p ≠ 2. Even for the classical Laplacian (i.e., for p=2), this is the fifirst time that integral identities are used to achieve stability for a Gidas-Ni-Nirenberg-type result.
dc.description.statementofresponsibilitySerena Dipierro, João Gonçalves da Silva, Giorgio Poggesi, Enrico Valdinoci
dc.identifier.citationJournal of Functional Analysis, 2025; 289(10):111108-1-111108-38
dc.identifier.doi10.1016/j.jfa.2025.111108
dc.identifier.issn0022-1236
dc.identifier.issn1096-0783
dc.identifier.orcidPoggesi, G. [0000-0002-3961-542X]
dc.identifier.urihttps://hdl.handle.net/2440/147956
dc.language.isoen
dc.publisherElsevier
dc.relation.granthttp://purl.org/au-research/grants/arc/FT230100333
dc.relation.granthttp://purl.org/au-research/grants/arc/DE230100954
dc.relation.granthttp://purl.org/au-research/grants/arc/FL190100081
dc.rights© 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
dc.source.urihttps://doi.org/10.1016/j.jfa.2025.111108
dc.subjectGidas-Ni-Nirenberg Theorem; p-Laplacian; Approximate symmetry; Quantitative stability
dc.titleA quantitative Gidas-Ni-Nirenberg-type result for the p-Laplacian via integral identities
dc.typeJournal article
pubs.publication-statusPublished

Files

Collections

Research Outputs