TY - JOUR
T1 - The obstacle problem for nonlinear elliptic equations with variable growth and L1-data
AU - Rodrigues, José Francisco
AU - Sanchón, Manel
AU - Urbano, José Miguel
N1 - Generated from Scopus record by KAUST IRTS on 2023-02-15
PY - 2008/8/1
Y1 - 2008/8/1
N2 - The aim of this paper is twofold: to prove, for L1-data, the existence and uniqueness of an entropy solution to the obstacle problem for nonlinear elliptic equations with variable growth, and to show some convergence and stability properties of the corresponding coincidence set. The latter follow from extending the Lewy-Stampacchia inequalities to the general framework of L1. © 2008 Springer-Verlag.
AB - The aim of this paper is twofold: to prove, for L1-data, the existence and uniqueness of an entropy solution to the obstacle problem for nonlinear elliptic equations with variable growth, and to show some convergence and stability properties of the corresponding coincidence set. The latter follow from extending the Lewy-Stampacchia inequalities to the general framework of L1. © 2008 Springer-Verlag.
UR - http://link.springer.com/10.1007/s00605-008-0550-4
UR - http://www.scopus.com/inward/record.url?scp=49049100418&partnerID=8YFLogxK
U2 - 10.1007/s00605-008-0550-4
DO - 10.1007/s00605-008-0550-4
M3 - Article
SN - 0026-9255
VL - 154
SP - 303
EP - 322
JO - Monatshefte fur Mathematik
JF - Monatshefte fur Mathematik
IS - 4
ER -