3 papers
math.AP2024
Unified a-priori estimates for minimizers under growth and exponential growth
Paolo Marcellini, Antonella Nastasi, Cintia Pacchiano Camacho
We propose some general growth conditions on the function , including the so-called natural growth, or polynomial, or growth conditions, or even expo…
math.AP2023
The Leray-Lions existence theorem under general growth conditions
Giovanni Cupini, Paolo Marcellini, Elvira Mascolo
We prove an existence result of weak solutions , to a Dirichlet problem for a second order elliptic equ…
math.AP2023
Regularity for nonuniformly elliptic equations with growth and explicit dependence
Giovanni Cupini, Paolo Marcellini, Elvira Mascolo
We are interested in the regularity of weak solutions to the elliptic equation in divergence form; precisely in their local boundedness and their local Lipschitz continuity und…