Morrey estimates for some classes of elliptic equations with a lower order term.

Abstract We will browse a series of results on elliptic equations and systems, with particular nonlinear lower order terms and measure right-hand side, obtained in the last years in the papers (Cirmi and Leonardi, 2014; Cianci et al., 2017; Cirmi et al., 2014, 2017, 2018). Namely we take into account equations whose prototypes are: − Δ u + u | D u | 2 = f or − Δ u + | D u | 2 u θ = f , θ ∈ ] 0 , 1 [ , where the right-hand side f belongs to a suitable Morrey space, for instance to L 1 , λ , 0 < λ ≤ N − 2 , and we prove corresponding Morrey estimates for the gradient of a solution. [ABSTRACT FROM AUTHOR]