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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…