A multiplicity result for a degenerate elliptic equation with critical growth on noncontractible domains
Keywords
Multiplicity result, Heisenberg group, critical growth equation, Lusternik-Schnirelmann categoryAbstract
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.Downloads
Published
2003-09-01
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1.
GARAGNANI, Elisa and UGUZZONI, Francesco. A multiplicity result for a degenerate elliptic equation with critical growth on noncontractible domains. Topological Methods in Nonlinear Analysis. Online. 1 September 2003. Vol. 22, no. 1, pp. 53 - 68. [Accessed 24 April 2024].
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