arXiv subjects

Marco Marzocchi

Publications and source records attributed to Marco Marzocchi.

2 recordsLinked to original sources

arXiv2018

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

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"

math.AP↗

arXiv2015

On the dependence on p of the variational eigenvalues of the p-Laplace operator

We study the behavior of the variational eigenvalues of the p-Laplace operator, with homogeneous Dirichlet boundary condition, when p is varying. After introducing an auxiliary problem, we characterize the continuity answering, in particular, a question raised in [Lindqvist, 1993].

math.AP↗