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January 18, 2026

A Brezis-Merle Inequality for Solutions of Nonlinear Two-Dimensional Dirichlet Problems in L 1 and Applications

LBLucio BoccardoSapienza University of Rome

Key Points

The aim is to establish a Brezis-Merle inequality for solutions of nonlinear two-dimensional Dirichlet problems.
Investigation of linear and nonlinear Dirichlet problems.
Focus on cases with discontinuous coefficients.
Utilization of L1 data for the analysis.
Derivation of a new inequality applicable to solutions.
Illustration of the inequality's significance in mathematical problems.
Demonstration of potential applications in analysis.

Abstract

In this paper, we study two-dimensional Dirichlet problems (linear and nonlinear) with discontinuous coefficients, order one terms and data in L 1 (and no more).

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Lucio Boccardo (Wed,) studied this question.

synapsesocial.com/papers/696c7877eb60fb80d139699d https://doi.org/https://doi.org/10.1142/s021919972640002x

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