Groups generated by two mutually Engel periodic elements
H. Heineken (2000)
Bollettino dell'Unione Matematica Italiana
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Scriviamo ed . Cerchiamo gruppi con generatori tali che ed per alcuni numeri naturali , .
H. Heineken (2000)
Bollettino dell'Unione Matematica Italiana
Similarity:
Scriviamo ed . Cerchiamo gruppi con generatori tali che ed per alcuni numeri naturali , .
Luisa Fattorusso, Giovanna Idone (2002)
Bollettino dell'Unione Matematica Italiana
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Let be a bounded open subset of , , of class . Let a solution of elliptic non linear non variational system where and are vectors in , , measurable in , continuous in and respectively. Here, we demonstrate that if has limit controlled growth, if is of class in and satisfies the Campanato condition and, together with , certain continuity assumptions, then the vector is partially Hölder continuous for every exponent .
Alberto Farina (2003)
Bollettino dell'Unione Matematica Italiana
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In this paper we consider two-dimensional quasilinear equations of the form and study the properties of the solutions u with bounded and non-vanishing gradient. Under a weak assumption involving the growth of the argument of (notice that is a well-defined real function since on ) we prove that is one-dimensional, i.e., for some unit vector . As a consequence of our result we obtain that any solution having one positive derivative is one-dimensional. This result provides...
Alessandro Veneruso (2003)
Bollettino dell'Unione Matematica Italiana
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Let be the Heisenberg group of dimension . Let be the partial sub-Laplacians on and the central element of the Lie algebra of . We prove that the kernel of the operator is in the Schwartz space if . We prove also that the kernel of the operator is in if and that the kernel of the operator is in if . Here is the Kohn-Laplacian on .