A multiplicity result for a degenerate elliptic equation with critical growth on noncontractible domains

Elisa Garagnani, Francesco Uguzzoni

DOI: http://dx.doi.org/10.12775/TMNA.2003.027

Abstract


In this paper we consider the semilinear problem with
critical growth in the Heisenberg group
$-\\Delta_{_{\mathbb{H}^n}} u = u^{(Q+2)/(Q-2)}+\lambda u$ in $\Omega$,
$u> 0$ in $\Omega$,
$u=0$ in $\partial\Omega$,
and we provide a multiplicity existence result involving
Lusternik-Schnirelmann category.

Keywords


Multiplicity result; Heisenberg group; critical growth equation; Lusternik-Schnirelmann category

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