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).