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arXiv · 1809.00569

Quasilinear elliptic equations with natural growth and quasilinear elliptic equations with singular drift

Marco Degiovanni·Marco Marzocchi
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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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Marco Degiovanni, Marco Marzocchi. 2018-09-03. Quasilinear elliptic equations with natural growth and quasilinear elliptic equations with singular drift. https://doi.org/10.1016/j.na.2019.03.008

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