Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Liouville theorem for a fourth order H\'enon equation   We examine the following fourth order H\'enon equation \label{pipe} \Delta^2
u = |x|^\alpha u^p \qquad \text{in}\ \IR^N, where $ 0 < \alpha$. Define the
Hardy-Sobolev exponent $ p_4(\alpha):= \frac{N+4 + 2 \alpha}{N-4}$. We show
that in dimension N=5 there are no positive bounded classical solutions of
(\ref{pipe}) provided $ 1 < p < p_4(\alpha)$.

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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: nucl-th