Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized solutions of variational problems and applications   Ultrafunctions are a particular class of generalized functions defined on a
hyperreal field $\mathbb{R}^{*}\supset\mathbb{R}$ that allow to solve
variational problems with no classical solutions. We recall the construction of
ultrafunctions and we study the relationships between these generalized
solutions and classical minimizing sequences. Finally, we study some examples
to highlight the potential of this approach.

25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph