A. Benkirane, M. El Moumni, A. Fri, “Renormalized solutions of non-linear elliptic problems with three lower-order terms and <nobr>$L^1$</nobr>-data”, Izv. RAN. Ser. Mat., 2017, Volume 81, Issue 3,Pages <nobr>3

This article is cited in 2 papers

Renormalized solutions of non-linear elliptic problems with three lower-order terms and $L^1$-data

A. Benkirane^a, M. El Moumni^b, A. Fri^a

^a Laboratory LAMA, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Morocco
^b Department of Mathematics, Faculty of Sciences El Jadida, University Chouaib Doukkali, Morocco

Abstract: We prove the existence of a renormalized solution in Sobolev spaces for a class of non-linear elliptic equations with lower-order terms and $L^1$-data.

Keywords: non-linear elliptic equations, renormalized solutions.

UDC: 517.9

MSC: 35J25, 46E30

Received: 21.08.2014
Revised: 29.06.2016

DOI: 10.4213/im8292