Data di Pubblicazione:
2012
Citazione:
On conformally invariant equations on ${\bf R^n$}-II. Exponential invariance / Y. Li, P. Mastrolia, D.D. Monticelli. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 75:13(2012), pp. 5194-5211. [10.1016/j.na.2012.04.036]
Abstract:
In this paper we provide a complete characterization of fully
nonlinear differential operators of any integer order on $\R^n$,
which exhibit conformal invariance of exponential type. In this way
we intend to complete the work that we undertook in
[Li, Mastrolia, Monticelli, On conformally invariant equations on ${\bf R^n$} (2012, submitted)], where we introduced the family of elementary
conformal tensors $\{T_{m,\alpha}^u\}$ in order to describe all
fully nonlinear differential operators of any integer order on
$\R^n$ which are conformally invariant of degree $\alpha\neq0$.
Examples of the differential operators that we study in this paper
are those related to the Q--curvature equation on $\R^4$ and to the
Gauss equation on $\R^2$.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Conformally invariant operators; Exponential invariance; Fully nonlinear higher order equations; Schouten tensor
Elenco autori:
Y. Li, P. Mastrolia, D.D. Monticelli
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