Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extremizers for Fourier restriction inequalities: convex arcs   We establish the existence of extremizers for a Fourier restriction
inequality on planar convex arcs without points with colinear tangents whose
curvature satisfies a natural assumption. More generally, we prove that any
extremizing sequence of nonnegative functions has a subsequence which converges
to an extremizer.

35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
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The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th