Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prescribing a fourth order conformal invariant on the standard sphere,
  Part II: blow-up analysis and applications   In this paper we perform a fine blow-up analysis for a fourth order elliptic
equation involving critical Sobolev exponent, related to the prescription of
some conformal invariant on the standard sphere. We derive from this analysis
some a priori estimates in dimension 5 and 6. On the five dimensionl sphere
these a priori estimates combined with the perturbation result of Part I allow
us to obtain some existence results. On the six dimensional sphere we prove the
existence of at least one solution when an associated index is different from
zero.

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The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th