Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Euclidean Complete Hypersurfaces of a Monge-Ampere Equation   We study the Monge-Ampere equation with some power nonlinear term. A solution
u is called to be Euclidean complete if it is an entire solution defined over
the whole R^n or its graph is a large hypersurface satisfying the large
condition on boundary \partial\Omega in case \Omega\not=R^n. In this paper, we
will give various sharp conditions on p and \Omega classifying the Euclidean
complete solution. Our results clarify and extend largely the existence theorem
of Cirstea-Trombetti (Calc. Var., 31, 2008, 167-186) for bounded convex domain
and p>n.

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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat