Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary operators associated to the sixth-order GJMS operator   We describe a set of conformally covariant boundary operators associated to
the sixth-order GJMS operator on a conformally invariant class of manifolds
which includes compactifications of Poincar\'e--Einstein manifolds. This yields
a conformally covariant energy functional for the sixth-order GJMS operator on
such manifolds. Our boundary operators also provide a new realization of the
fractional GJMS operators of order one, three, and five as generalized
Dirichlet-to-Neumann operators. This allows us to prove some sharp Sobolev
trace inequalities involving the interior $W^{3,2}$-seminorm, including an
analogue of the Lebedev--Milin inequality on six-dimensional manifolds.

10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg