Renormalized solutions of elliptic equations with right-hand side in L^1 or a measure

Contents:

● The linear case: the definition of G. Stampacchia of solutions by transposition

● Definition of the renormalized solution for Leray-Lions operators acting in $W^{1, p}_0 (\Omega)$ when the right-hand side is in $L^1$

● Existence, uniqueness and continuity of the renormalized solution when the right-hand side is in $L^1$

● Definition of the renormalized solution for Leray-Lions operators acting in $W^{1, p}_0 (\Omega)$ when the right-hand side is a measure

● Existence and continuity of the renormalized solution when the right-hand side is a measure

Announcement