Regularity of renormalized solutions to nonlinear elliptic equations away from the support of measure data
01 Pubblicazione su rivista
Dall'Aglio Andrea, SEGURA DE LEON Sergio
ISSN: 0011-4642
We prove boundedness and continuity for solutions to the Dirichlet problem for the equation
[
-Div(a(x,
abla u))=h(x,u)+mu,,quadhbox{in }OmegasubsetR^N,,
]
where the left--hand side is a Leray--Lions operator from $W_0^{1,p}$ into $W^{-1,p'}(Omega)$, with $1