L super(p)-Liouville theorems for invariant Partial Differential Operators in [dbl-struck R] super(n)

L super(p)-Liouville theorems for invariant Partial Differential Operators in [dbl-struck R] super(n)

We prove some L super(p)-Liouville theorems for hypoelliptic second order Partial Differential Operators left translation invariant with respect to a Lie group composition law in [dbl-struck R] super(n). Results for both solutions and subsolutions are given.

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Veröffentlicht in:Nonlinear analysis 2015-07, Vol.121, p.188-205
Hauptverfasser: Kogoj, Alessia E, Lanconelli, Ermanno
Format: Artikel
Sprache:eng
Schlagworte:
Invariants
Law
Lie groups
Nonlinearity
Operators
Theorems
Translations
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Zusammenfassung:We prove some L super(p)-Liouville theorems for hypoelliptic second order Partial Differential Operators left translation invariant with respect to a Lie group composition law in [dbl-struck R] super(n). Results for both solutions and subsolutions are given.
ISSN:0362-546X
DOI:10.1016/j.na.2014.12.004