| Issue |
ESAIM: COCV
Volume 8, 2002
A tribute to JL Lions
|
|
|---|---|---|
| Page(s) | 239 - 272 | |
| DOI | https://doi.org/10.1051/cocv:2002051 | |
| Published online | 15 August 2002 | |
Uniqueness of renormalized solutions to nonlinear elliptic equations with a lower order term and right-hand side in L1(Ω)
1
Dipartimento di Matematica,
Seconda Università di Napoli, via Vivaldi 43, 81100 Caserta, Italy;
mariafrancesca.betta@unina2.it.
2
Dipartimento di Matematica e Applicazioni “R. Caccioppoli”,
Università degli Studi di Napoli “Federico II",
Complesso Monte S. Angelo, via Cintia, 80126 Napoli, Italy;
mercaldo@unina.it.
3
Laboratoire Jacques-Louis Lions, Université Paris VI,
Boîte courrier 187, 75252 Paris Cedex 05, France;
murat@ann.jussieu.fr.
4
Facoltà di Scienze Matematiche, Fisiche e Naturali,
Università degli Studi del Sannio,
via Port'Arsa 11, 82100 Benevento, Italy;
porzio@unisannio.it.
Received:
11
February
2002
In this paper we prove uniqueness results for the renormalized
solution, if it exists, of a class of
non coercive nonlinear problems whose prototype is
where Ω is a bounded open subset of 
, N > 2, 2-1/N < p < N , a belongs to L∞(Ω),
,
f is a function in
L1(Ω), b is a function in 
and 0 ≤ λ < λ *(N,p,r),
for some r and λ *(N,p,r).
Mathematics Subject Classification: 35J25 / 35J60
Key words: Uniqueness / nonlinear elliptic equations / noncoercive problems / data in L1.
© EDP Sciences, SMAI, 2002
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