TY - JOUR
T1 - Quasilinear elliptic equations with natural growth and quasilinear elliptic equations with singular drift
AU - Degiovanni, Marco
AU - Marzocchi, Marco
PY - 2019
Y1 - 2019
N2 - We prove an existence result for a quasilinear elliptic equation satisfying natural growth conditions. As a consequence, we deduce an existence result for a quasilinear elliptic equation containing a singular drift. A key tool, in the proof, is the study of an auxiliary variational inequality playing the role of “natural constraint”.
AB - We prove an existence result for a quasilinear elliptic equation satisfying natural growth conditions. As a consequence, we deduce an existence result for a quasilinear elliptic equation containing a singular drift. A key tool, in the proof, is the study of an auxiliary variational inequality playing the role of “natural constraint”.
KW - Divergence form
KW - Equations with singular drift
KW - Natural growth conditions
KW - Quasilinear elliptic equations
KW - Divergence form
KW - Equations with singular drift
KW - Natural growth conditions
KW - Quasilinear elliptic equations
UR - http://hdl.handle.net/10807/131789
UR - https://www.journals.elsevier.com/nonlinear-analysis
U2 - 10.1016/j.na.2019.03.008
DO - 10.1016/j.na.2019.03.008
M3 - Article
SN - 1873-5215
SP - 206
EP - 215
JO - NONLINEAR ANALYSIS
JF - NONLINEAR ANALYSIS
ER -