@Article{Pucci2019,
author = "Pucci, Patrizia",
title = "Existence and multiplicity results for quasilinear equations in the Heisenberg group",
journal = "Opuscula Math.",
year = "2019",
volume = "39",
number = "2",
pages = "247--257",
doi = "https://doi.org/10.7494/OpMath.2019.39.2.247",
url = "https://doi.org/10.7494/OpMath.2019.39.2.247",
abstract = "In this paper we complete the study started in [Existence of entire solutions for quasilinear equations in the Heisenberg group, Minimax Theory Appl. 4 (2019)] on entire solutions for a quasilinear equation \((\mathcal{E}_{\lambda})\) in \(\mathbb{H}^{n}\), depending on a real parameter \(\lambda\), which involves a general elliptic operator \(\mathbf{A}\) in divergence form and two main nonlinearities. Here, in the so called sublinear case, we prove existence for all \(\lambda\gt 0\) and, for special elliptic operators \(\mathbf{A}\), existence of infinitely many solutions \((u_k)_k\).",
keywords = "Heisenberg group, entire solutions, critical exponents",
issn = "1232-9274"
}