Work

On certain surface integrals related to the conormal derivative problem

Year: 2025

Type: article

Abstract: The non-homogeneous conormal derivative problems for nonlinear, second-order divergence form elliptic equations with singular data appear naturally in mathematical modeling of real phenomena involving problems of image recovery, the thermistor problem, or studies of non-Newtonian fluids. We prove suitable estimates for certain surface integrals, related to non-homogeneous conormal derivative problems, which lead to essential boundedness of the weak solutions under quite general hypotheses on the data.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2025.101325

Author: Dian K. Palagachev

Institution: Polytechnic University of Bari

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,470

Funders: Ministero dell’Istruzione, dell’Università e della Ricerca, Ministero dell'Istruzione e del Merito