Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On an intercritical log-modified nonlinear Schrodinger equation in two
  spatial dimensions   We consider a dispersive equation of Schr{\"o}dinger type with a
non-linearity slightly larger than cubic by a logarithmic factor. This equation
is supposed to be an effective model for stable two dimensional quantum
droplets with LHY correction. Mathematically, it is seen to be mass
supercritical and energy subcritical with a sign-indefinite nonlinearity. For
the corresponding initial value problem, we prove global in-time existence of
strong solutions in the energy space. Furthermore, we prove the existence and
uniqueness (up to symmetries) of nonlinear ground states and the orbital
stability of the set of energy minimizers. We also show that for the
corresponding model in 1D a stronger stability result is available.

32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci