Work

Local behaviour of the second order derivatives of solutions to p-Laplace equations

Year: 2025

Type: article

Abstract: We consider the equation $$- \Delta _{p} u = f(x)$$ - Δ p u = f ( x ) in $$\Omega ,$$ Ω , where $$\Delta _{p}$$ Δ p is the p -Laplace operator. We provide $$L^{\infty }$$ L ∞ -type estimates for the second derivatives of solutions when p approaches to 2.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-025-03174-4

Authors: Felice Iandoli, Domenico Vuono

Institution: University of Calabria

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", Ministero dell’Istruzione, dell’Università e della Ricerca, Università della Calabria, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni