Work

Approximate radial symmetry for p-Laplace equations via the moving planes method

Year: 2025

Type: article

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 $$p>2$$ p > 2 . 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.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-025-03129-9

Author: Michele Gatti

Institution: University of Milan

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni