Approximate radial symmetry for p-Laplace equations via the moving planes method
Abstract We investigate quasi-symmetry for small perturbations of the Gidas-Ni-Nirenberg problem involving the p -Laplacian and for small perturbations the critical p -Laplace equation for $$p>2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mo>></mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> . To achieve these results, we provide a quantitative review of the work by Damascelli & Sciunzi [16] concerning the weak Harnack comparison inequality and the local boundedness comparison inequality. Moreover, we prove a comparison principle for small domains.
Authors
- Michele Gatti (ORCID: https://orcid.org/0009-0002-6686-9684)
Institutions
- University of Milan (IT)
Publication Details
- Journal
- Calculus of Variations and Partial Differential Equations
- Published
- 2025-09-22
- DOI
- https://doi.org/10.1007/s00526-025-03129-9
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni