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”.
Degiovanni, M., Marzocchi, M., Quasilinear elliptic equations with natural growth and quasilinear elliptic equations with singular drift, <<NONLINEAR ANALYSIS>>, 2019; (185): 206-215. [doi:10.1016/j.na.2019.03.008] [http://hdl.handle.net/10807/131789]
Quasilinear elliptic equations with natural growth and quasilinear elliptic equations with singular drift
Degiovanni, Marco
Primo
;Marzocchi, MarcoSecondo
2019
Abstract
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”.
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