ABSTRACT
In this paper, we will study existence and properties of solutions for the nonlinear Dirichlet problem
where
is a bounded domain,
M is a uniformly elliptic and bounded matrix, and b, f are functions in some Lebesgue spaces.
Acknowledgements
Part of this work has been carried out during the stays of the first author at the Departamento de Matemàticas of Universidad Autónoma de Madrid and at the ‘Dipartimento di chirurgia generale e specialistica’ of Sapienza for a cooperation with Professor Massimo Rossi. We also thank the referee for the useful remarks on the paper.
Disclosure statement
No potential conflict of interest was reported by the authors.